Pith Number

pith:MOY63OG6

pith:2007:MOY63OG6MMSZD2DFBUFTP5UG52

not attested not anchored not stored refs pending

Symplectic structures on moduli spaces of sheaves via the Atiyah class

A. Kuznetsov, D. Markushevich

arxiv:math/0703264 v2 · 2007-03-09 · 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{MOY63OG6MMSZD2DFBUFTP5UG52}

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	2026-05-18T04:08:52.847328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63b1edb8de632591e8650d0b37f686ee872114c709df037d1017117e1733d996

Aliases

arxiv: math/0703264 · arxiv_version: math/0703264v2 · doi: 10.48550/arxiv.math/0703264 · pith_short_12: MOY63OG6MMSZ · pith_short_16: MOY63OG6MMSZD2DF · pith_short_8: MOY63OG6

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/MOY63OG6MMSZD2DFBUFTP5UG52 \
  | 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: 63b1edb8de632591e8650d0b37f686ee872114c709df037d1017117e1733d996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1d50c79e346aff24ba75e3a9157be095a404b7246acaa16792a6be0667688c3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-03-09T13:40:51Z",
    "title_canon_sha256": "1af8207394ee73582503749c255b2e4733309d3f5aca30e9551460c8705c7873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703264",
    "kind": "arxiv",
    "version": 2
  }
}