Pith Number

pith:ONRG7ZWT

pith:2012:ONRG7ZWT4LXKFGQ3SJBKF5MLVZ

not attested not anchored not stored refs pending

Asymptotics of random Betti tables

Daniel Erman, Lawrence Ein, Robert Lazarsfeld

arxiv:1207.5467 v1 · 2012-07-23 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ONRG7ZWT4LXKFGQ3SJBKF5MLVZ}

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	2026-05-18T00:17:24.768076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73626fe6d3e2eea29a1b9242a2f58bae7d77b5711e3be97f5da5dcb297e213f1

Aliases

arxiv: 1207.5467 · arxiv_version: 1207.5467v1 · doi: 10.48550/arxiv.1207.5467 · pith_short_12: ONRG7ZWT4LXK · pith_short_16: ONRG7ZWT4LXKFGQ3 · pith_short_8: ONRG7ZWT

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/ONRG7ZWT4LXKFGQ3SJBKF5MLVZ \
  | 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: 73626fe6d3e2eea29a1b9242a2f58bae7d77b5711e3be97f5da5dcb297e213f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f3205fec22c3bd1fc8537aee4b5b99083f8861d88626478536d337aebcee73c",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-23T18:08:41Z",
    "title_canon_sha256": "c9343dd034cdc76b5a0e2e32fc44adaff5f5664657534dd9f5a3d82aafcb420c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5467",
    "kind": "arxiv",
    "version": 1
  }
}