Pith Number

pith:F5M7KVTR

pith:2005:F5M7KVTRESD72NWIBSXQX4N34T

not attested not anchored not stored refs pending

On the Hall algebra of an elliptic curve, I

Igor Burban, Olivier Schiffmann

arxiv:math/0505148 v2 · 2005-05-09 · math.AG · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F5M7KVTRESD72NWIBSXQX4N34T}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

4 papers in Pith

Integrable systems inspired by DAHA and DIM algebra: type $C^\vee C$ versus type $A$

Twisted Cherednik spectrum as a $q,t$-deformation

Non-commutative creation operators for symmetric polynomials

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems

Receipt and verification

First computed	2026-07-05T00:27:07.081682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f59f556712487fd36c80caf0bf1bbe4e3709f8812f81a86ddd9034e8dab474c

Aliases

arxiv: math/0505148 · arxiv_version: math/0505148v2 · doi: 10.48550/arxiv.math/0505148 · pith_short_12: F5M7KVTRESD7 · pith_short_16: F5M7KVTRESD72NWI · pith_short_8: F5M7KVTR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/F5M7KVTRESD72NWIBSXQX4N34T \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2f59f556712487fd36c80caf0bf1bbe4e3709f8812f81a86ddd9034e8dab474c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02fcc65129e2c421918fd3f575d6873f99f4d6ecd06b696ad3075253a1ba0fb5",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2005-05-09T15:31:24Z",
    "title_canon_sha256": "0e46f4b9de9464af63b3abf446748294b997ff658800e018db944bdc3fab95ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505148",
    "kind": "arxiv",
    "version": 2
  }
}