Pith Number

pith:TODDNVCF

pith:2010:TODDNVCFEECZT2DY4T5VTC7GUH

not attested not anchored not stored refs pending

On a twisted de Rham complex, II

Claude Sabbah

arxiv:1012.3818 v3 · 2010-12-17 · math.AG · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TODDNVCFEECZT2DY4T5VTC7GUH}

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	2026-05-18T04:03:43.506014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b8636d445210599e878e4fb598be6a1e2148f703e10337c85fe2c07eb18b84c

Aliases

arxiv: 1012.3818 · arxiv_version: 1012.3818v3 · doi: 10.48550/arxiv.1012.3818 · pith_short_12: TODDNVCFEECZ · pith_short_16: TODDNVCFEECZT2DY · pith_short_8: TODDNVCF

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/TODDNVCFEECZT2DY4T5VTC7GUH \
  | 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: 9b8636d445210599e878e4fb598be6a1e2148f703e10337c85fe2c07eb18b84c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "907752844d651545c5db1cef2ab825d27dc0bc2abe243580afcae1fec4e23d23",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-17T07:06:05Z",
    "title_canon_sha256": "8761902d5a6cda2ea3d911eae28ce6a2599409a043c40a547a83c3926ef08ed4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3818",
    "kind": "arxiv",
    "version": 3
  }
}