Pith Number

pith:MKNXK5FY

pith:2013:MKNXK5FYN65POHFLCMGZQRA4IV

not attested not anchored not stored refs pending

A reconstruction theorem for abelian categories of twisted sheaves

Benjamin Antieau

arxiv:1305.2541 v2 · 2013-05-11 · 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{MKNXK5FYN65POHFLCMGZQRA4IV}

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	2026-05-18T03:08:07.218037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

629b7574b86fbaf71cab130d98441c455269b2d4e3e04412822de80ab83dd3e8

Aliases

arxiv: 1305.2541 · arxiv_version: 1305.2541v2 · doi: 10.48550/arxiv.1305.2541 · pith_short_12: MKNXK5FYN65P · pith_short_16: MKNXK5FYN65POHFL · pith_short_8: MKNXK5FY

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/MKNXK5FYN65POHFLCMGZQRA4IV \
  | 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: 629b7574b86fbaf71cab130d98441c455269b2d4e3e04412822de80ab83dd3e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d897a73cf9d60bf46b1d6884680c286eb6dd20bf6c0b8247ab5353aefc73be4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-11T20:44:54Z",
    "title_canon_sha256": "15e1776236c0b54e64911b0bd066685ae806cf8df2d88e83e03ec629e13128f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2541",
    "kind": "arxiv",
    "version": 2
  }
}