Pith Number

pith:G7344UIU

pith:2007:G7344UIU47VMIGL3OJCVY44GFB

not attested not anchored not stored refs pending

Locally projective monoidal model structure for complexes of quasi-coherent sheaves on P^1(k)

Edgar Enochs, J.R. Garcia-Rozas, Sergio Estrada

arxiv:math/0702319 v2 · 2007-02-12 · 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{G7344UIU47VMIGL3OJCVY44GFB}

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	2026-05-18T02:57:45.283361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37f7ce5114e7eac4197b72455c73862879d9a48aa510ff5d75c3f4b9e2cc8a76

Aliases

arxiv: math/0702319 · arxiv_version: math/0702319v2 · doi: 10.48550/arxiv.math/0702319 · pith_short_12: G7344UIU47VM · pith_short_16: G7344UIU47VMIGL3 · pith_short_8: G7344UIU

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/G7344UIU47VMIGL3OJCVY44GFB \
  | 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: 37f7ce5114e7eac4197b72455c73862879d9a48aa510ff5d75c3f4b9e2cc8a76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74ea85ed63f88821cf08ed1b6481f15cd0b20895898a47a14c921c08bcdb3aa4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-02-12T10:42:18Z",
    "title_canon_sha256": "6fd736ab5d90c0d2627ce4e08366a5d10593c2a80f9d6001a08562a95b5e8290"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702319",
    "kind": "arxiv",
    "version": 2
  }
}