Pith Number

pith:WGX623DF

pith:2013:WGX623DFSAGJZK4SPFHTSSOEWL

not attested not anchored not stored refs pending

Hodge-theoretic splitting mechanisms for projective maps (in appendix, a letter from P. Deligne)

Mark Andrea de Cataldo

arxiv:1312.1169 v1 · 2013-12-04 · 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{WGX623DFSAGJZK4SPFHTSSOEWL}

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	2026-05-18T03:05:34.783816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1afed6c65900c9cab92794f3949c4b2c5a180a7021156399319bf3515a9ff4e

Aliases

arxiv: 1312.1169 · arxiv_version: 1312.1169v1 · doi: 10.48550/arxiv.1312.1169 · pith_short_12: WGX623DFSAGJ · pith_short_16: WGX623DFSAGJZK4S · pith_short_8: WGX623DF

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/WGX623DFSAGJZK4SPFHTSSOEWL \
  | 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: b1afed6c65900c9cab92794f3949c4b2c5a180a7021156399319bf3515a9ff4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d14ba1d1560d6cd90fc9f7e5f90f64c7e78c165218c8e24b55d70f3845cd802e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-04T14:09:18Z",
    "title_canon_sha256": "1d738135e2161a316b263aa6c78aa4a009ea43af98d5883dfc5aaeec28ca3bfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1169",
    "kind": "arxiv",
    "version": 1
  }
}