Pith Number

pith:AI7B7UUA

pith:2016:AI7B7UUAIEMDOGOWLHEX26S4NU

not attested not anchored not stored refs pending

Morse-Novikov cohomology of closed one-forms of rank 1

Alexandra Otiman

arxiv:1607.01663 v3 · 2016-07-06 · math.DG · math.AT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AI7B7UUAIEMDOGOWLHEX26S4NU}

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	2026-05-18T01:10:45.459935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

023e1fd28041183719d659c97d7a5c6d3729866d05106db9ba7709d4958df5ac

Aliases

arxiv: 1607.01663 · arxiv_version: 1607.01663v3 · doi: 10.48550/arxiv.1607.01663 · pith_short_12: AI7B7UUAIEMD · pith_short_16: AI7B7UUAIEMDOGOW · pith_short_8: AI7B7UUA

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/AI7B7UUAIEMDOGOWLHEX26S4NU \
  | 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: 023e1fd28041183719d659c97d7a5c6d3729866d05106db9ba7709d4958df5ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cd4db44a9f4637aadad191640fe03152177ce79461deb39e03e886cfb54fb6a",
    "cross_cats_sorted": [
      "math.AT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-06T15:15:09Z",
    "title_canon_sha256": "9ea8800ca6469de80ae001fa485ac4b7415a10722e93500444910564ebf36883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01663",
    "kind": "arxiv",
    "version": 3
  }
}