Pith Number

pith:RBJYGH5T

pith:2015:RBJYGH5TINMHUGH47OBVK3656P

not attested not anchored not stored refs pending

Quantum toroidal algebras and motivic Hall algebras I. Hall algebras for singular elliptic curves

Shintarou Yanagida

arxiv:1504.06254 v1 · 2015-04-23 · math.QA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RBJYGH5TINMHUGH47OBVK3656P}

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.

Receipt and verification

First computed	2026-05-18T02:18:02.160070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8853831fb343587a18fcfb83556fddf3e55a65a80c2712cfcca97174ce661864

Aliases

arxiv: 1504.06254 · arxiv_version: 1504.06254v1 · doi: 10.48550/arxiv.1504.06254 · pith_short_12: RBJYGH5TINMH · pith_short_16: RBJYGH5TINMHUGH4 · pith_short_8: RBJYGH5T

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/RBJYGH5TINMHUGH47OBVK3656P \
  | 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: 8853831fb343587a18fcfb83556fddf3e55a65a80c2712cfcca97174ce661864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "283fbfb25d97c9b45ff9c35472d07a3630148e3c6b34353c42768d97ba53339d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-04-23T17:03:07Z",
    "title_canon_sha256": "9e351f3640b9cbc9fc07285cc0ca5963a135ac62ceda06c8c33ec72d581bafec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06254",
    "kind": "arxiv",
    "version": 1
  }
}