Pith Number

pith:OFEPEGWF

pith:2012:OFEPEGWFELJGX27CJLHBK4IC6N

not attested not anchored not stored refs pending

Secant cumulants and toric geometry

Luke Oeding, Mateusz Michalek, Piotr Zwiernik

arxiv:1212.1515 v2 · 2012-12-07 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OFEPEGWFELJGX27CJLHBK4IC6N}

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

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	2026-05-18T01:14:36.390010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7148f21ac522d26bebe24ace157102f35da0c2671ee223ca10b96081102e1595

Aliases

arxiv: 1212.1515 · arxiv_version: 1212.1515v2 · doi: 10.48550/arxiv.1212.1515 · pith_short_12: OFEPEGWFELJG · pith_short_16: OFEPEGWFELJGX27C · pith_short_8: OFEPEGWF

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/OFEPEGWFELJGX27CJLHBK4IC6N \
  | 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: 7148f21ac522d26bebe24ace157102f35da0c2671ee223ca10b96081102e1595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71d6be67cf1c3772339fd0c859adfd0eb80cb9a6ef3fe87639ec8ead0524385d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-07T01:46:22Z",
    "title_canon_sha256": "e3608606082ed560db8829f44a173f7ef1334b19457ffe03df49169a4114619f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1515",
    "kind": "arxiv",
    "version": 2
  }
}