Pith Number

pith:2UAFUQ7R

pith:2010:2UAFUQ7RM7JZ7XLVDUEJ644UM4

not attested not anchored not stored refs pending

A vanishing theorem in twisted de Rham cohomology

Ana Cristina Ferreira

arxiv:1012.2087 v2 · 2010-12-09 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2UAFUQ7RM7JZ7XLVDUEJ644UM4}

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	2026-05-18T04:30:05.170893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5005a43f167d39fdd751d089f7394672ab35eed2c16302b9353d47629aaa47b

Aliases

arxiv: 1012.2087 · arxiv_version: 1012.2087v2 · doi: 10.48550/arxiv.1012.2087 · pith_short_12: 2UAFUQ7RM7JZ · pith_short_16: 2UAFUQ7RM7JZ7XLV · pith_short_8: 2UAFUQ7R

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/2UAFUQ7RM7JZ7XLVDUEJ644UM4 \
  | 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: d5005a43f167d39fdd751d089f7394672ab35eed2c16302b9353d47629aaa47b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef270f3cf4678dabbb51464c904cf6afaec4f290d6812672e6d34425c12f8736",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-09T19:24:21Z",
    "title_canon_sha256": "fb32e8e8642d375b910018a38579301c2f725f809a3fd71bf7b845e7b1e93a49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2087",
    "kind": "arxiv",
    "version": 2
  }
}