Pith Number

pith:3POWOKXB

pith:2014:3POWOKXBFSR7VQRSRQQOAJRWWT

not attested not anchored not stored refs pending

Characteristic cycle and the Euler number of a constructible sheaf on a surface

Takeshi Saito

arxiv:1402.5720 v1 · 2014-02-24 · 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{3POWOKXBFSR7VQRSRQQOAJRWWT}

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	2026-05-18T01:30:25.951290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbdd672ae12ca3fac2328c20e02636b4e6d2841996cd2c61a2acf75a8c9ab2ba

Aliases

arxiv: 1402.5720 · arxiv_version: 1402.5720v1 · doi: 10.48550/arxiv.1402.5720 · pith_short_12: 3POWOKXBFSR7 · pith_short_16: 3POWOKXBFSR7VQRS · pith_short_8: 3POWOKXB

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/3POWOKXBFSR7VQRSRQQOAJRWWT \
  | 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: dbdd672ae12ca3fac2328c20e02636b4e6d2841996cd2c61a2acf75a8c9ab2ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc8856675f2933492d17d9c7157b168503db7188e936891aed8f88f90b1ec8ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-02-24T04:23:15Z",
    "title_canon_sha256": "69154edfb55dec6a08c96abafd2e5bc6b206bab275d6d822b833c5daa44aa520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5720",
    "kind": "arxiv",
    "version": 1
  }
}