Pith Number

pith:SMER6WSP

pith:2021:SMER6WSPKZ2BMUEQ4OTVTK37AL

not attested not anchored not stored refs pending

A Cohomological Non Abelian Hodge Theorem in Positive Characteristic

Mark Andrea A. de Cataldo, Siqing Zhang

arxiv:2104.12970 v2 · 2021-04-27 · 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{SMER6WSPKZ2BMUEQ4OTVTK37AL}

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	2026-07-05T04:00:14.481974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93091f5a4f5674165090e3a759ab7f02d5851fd857b4a710220d50dbc0216c60

Aliases

arxiv: 2104.12970 · arxiv_version: 2104.12970v2 · doi: 10.48550/arxiv.2104.12970 · pith_short_12: SMER6WSPKZ2B · pith_short_16: SMER6WSPKZ2BMUEQ · pith_short_8: SMER6WSP

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/SMER6WSPKZ2BMUEQ4OTVTK37AL \
  | 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: 93091f5a4f5674165090e3a759ab7f02d5851fd857b4a710220d50dbc0216c60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4740d80a6cc4ec5000d31d40544a052d76da22247d5031831462c13d36b02e3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-04-27T04:22:46Z",
    "title_canon_sha256": "b603d8357a698aceb74801132001bc17db78e416c999904d9b3e919fba341256"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.12970",
    "kind": "arxiv",
    "version": 2
  }
}