Pith Number

pith:5V4HMDFS

pith:2019:5V4HMDFSTUVFCBY7WQ6WBIZL6R

not attested not anchored not stored refs pending

Tautological algebra of the moduli space of semistable bundles on an elliptic curve

Arijit Mukherjee

arxiv:1911.03635 v1 · 2019-11-09 · 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{5V4HMDFSTUVFCBY7WQ6WBIZL6R}

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	2026-07-05T00:18:14.523355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed78760cb29d2a51071fb43d60a32bf47de83e3bad5c5021cfa26f971982ac0d

Aliases

arxiv: 1911.03635 · arxiv_version: 1911.03635v1 · doi: 10.48550/arxiv.1911.03635 · pith_short_12: 5V4HMDFSTUVF · pith_short_16: 5V4HMDFSTUVFCBY7 · pith_short_8: 5V4HMDFS

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/5V4HMDFSTUVFCBY7WQ6WBIZL6R \
  | 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: ed78760cb29d2a51071fb43d60a32bf47de83e3bad5c5021cfa26f971982ac0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53fdfd01e0d5940af098f4dd7ad71729f023e2ab20b9814d6776c4d3c36fd499",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-11-09T07:45:22Z",
    "title_canon_sha256": "8031017db6b91e3b0536efdab2d7d1caf2b2fab682d6ab37791fe20515641de9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.03635",
    "kind": "arxiv",
    "version": 1
  }
}