Pith Number

pith:GPLIG43G

pith:2007:GPLIG43G43CX2B4TAJG365ID5F

not attested not anchored not stored refs pending

Chern classes in Deligne cohomology for coherent analytic sheaves

Julien Grivaux

arxiv:0712.2207 v8 · 2007-12-13 · 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{GPLIG43G43CX2B4TAJG365ID5F}

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	2026-05-18T00:33:28.149206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33d6837366e6c57d0793024dbf7503e976f096c849ba5b28a7c82d8d86264536

Aliases

arxiv: 0712.2207 · arxiv_version: 0712.2207v8 · doi: 10.48550/arxiv.0712.2207 · pith_short_12: GPLIG43G43CX · pith_short_16: GPLIG43G43CX2B4T · pith_short_8: GPLIG43G

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/GPLIG43G43CX2B4TAJG365ID5F \
  | 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: 33d6837366e6c57d0793024dbf7503e976f096c849ba5b28a7c82d8d86264536

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5ff1ed41cdfb58bcdbd8b0a4b33227b6a42a9c3c8dfc7aa2a05d81056365f35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-12-13T18:32:45Z",
    "title_canon_sha256": "0fc202f07e271e5916df679aede96b2d9d00d897975ddea693171d847e611b86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2207",
    "kind": "arxiv",
    "version": 8
  }
}