Pith Number

pith:FNLNAXKF

pith:2014:FNLNAXKFFXS7ZVQVSGND37LGNV

not attested not anchored not stored refs pending

The Hodge Theory of maps (Lectures 4 and 5)

Mark Andrea A. de Cataldo

arxiv:1412.6019 v1 · 2014-12-18 · 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{FNLNAXKFFXS7ZVQVSGND37LGNV}

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	2026-05-18T02:30:55.671303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b56d05d452de5fcd615919a3dfd666d715c7a12cd0ef015c0379be34e407f71

Aliases

arxiv: 1412.6019 · arxiv_version: 1412.6019v1 · doi: 10.48550/arxiv.1412.6019 · pith_short_12: FNLNAXKFFXS7 · pith_short_16: FNLNAXKFFXS7ZVQV · pith_short_8: FNLNAXKF

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/FNLNAXKFFXS7ZVQVSGND37LGNV \
  | 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: 2b56d05d452de5fcd615919a3dfd666d715c7a12cd0ef015c0379be34e407f71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9da1f297cdaff19113e98bb998f4c951a4af4a145c5f6359000617be9adf56c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-18T19:26:06Z",
    "title_canon_sha256": "ea73abff82147b80cf2128f146acbfc5ba147dc8bda78176e634d922539d267b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6019",
    "kind": "arxiv",
    "version": 1
  }
}