Pith Number

pith:2YUSGKPK

pith:2011:2YUSGKPKWXMPFIAIWKYWQE7ADC

not attested not anchored not stored refs pending

The moduli space of sheaves and the generalization of MacMahon's formula

A. Buryak

arxiv:1101.0433 v1 · 2011-01-02 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YUSGKPKWXMPFIAIWKYWQE7ADC}

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	2026-05-18T02:45:14.914230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6292329eab5d8f2a008b2b16813e018aa1d97369a366e0ec3d04d7b60c98a8e

Aliases

arxiv: 1101.0433 · arxiv_version: 1101.0433v1 · doi: 10.48550/arxiv.1101.0433 · pith_short_12: 2YUSGKPKWXMP · pith_short_16: 2YUSGKPKWXMPFIAI · pith_short_8: 2YUSGKPK

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/2YUSGKPKWXMPFIAIWKYWQE7ADC \
  | 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: d6292329eab5d8f2a008b2b16813e018aa1d97369a366e0ec3d04d7b60c98a8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79c37933bf5d36b19e5f3a790846d94425e66c623e5e5941ae6bcf63c22b5aa8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-02T21:32:37Z",
    "title_canon_sha256": "04c55b4a7e0cbad3a34aad56ad93a7ddc725e4357dafab0ebf26da494183dcb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0433",
    "kind": "arxiv",
    "version": 1
  }
}