Pith Number

pith:M25ZCJ3O

pith:2011:M25ZCJ3ORASSNFR5I3WOYSE26H

not attested not anchored not stored refs pending

A Mathematical Theory of Quantum Sheaf Cohomology

Eric Sharpe, Josh Guffin, Ron Donagi, Sheldon Katz

arxiv:1110.3751 v2 · 2011-10-17 · math.AG · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M25ZCJ3ORASSNFR5I3WOYSE26H}

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	2026-05-18T01:03:33.096682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66bb91276e882526963d46ecec489af1c11b514ee36c185976bf6be3787ae47e

Aliases

arxiv: 1110.3751 · arxiv_version: 1110.3751v2 · doi: 10.48550/arxiv.1110.3751 · pith_short_12: M25ZCJ3ORASS · pith_short_16: M25ZCJ3ORASSNFR5 · pith_short_8: M25ZCJ3O

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/M25ZCJ3ORASSNFR5I3WOYSE26H \
  | 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: 66bb91276e882526963d46ecec489af1c11b514ee36c185976bf6be3787ae47e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0580d1e622d0c42304cd5b29e04f064edb0c274e551e3d344d293c6ada6fadda",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-17T18:14:42Z",
    "title_canon_sha256": "a6ef5acbf6d629ced255d6875056c0a1694d68047ad64b5fd5b7373a19cfb7e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3751",
    "kind": "arxiv",
    "version": 2
  }
}