Pith Number

pith:MF2YHEB6

pith:2017:MF2YHEB63ELG3AHMADJRRGFMM3

not attested not anchored not stored refs pending

Homological indices of collections of 1-forms

Eugene Gorsky, Sabir M. Gusein-Zade

arxiv:1704.08641 v1 · 2017-04-27 · 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{MF2YHEB63ELG3AHMADJRRGFMM3}

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	2026-05-18T00:12:00.487465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

617583903ed9166d80ec00d31898ac66c365a9f2ffac38b7f422789513b4d997

Aliases

arxiv: 1704.08641 · arxiv_version: 1704.08641v1 · doi: 10.48550/arxiv.1704.08641 · pith_short_12: MF2YHEB63ELG · pith_short_16: MF2YHEB63ELG3AHM · pith_short_8: MF2YHEB6

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/MF2YHEB63ELG3AHMADJRRGFMM3 \
  | 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: 617583903ed9166d80ec00d31898ac66c365a9f2ffac38b7f422789513b4d997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a6599a997499bdbd6f5fd7bebad4fae9023ac05d1a771f8fec78b40b413543e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-04-27T16:24:14Z",
    "title_canon_sha256": "7ccd3f053ab7ab7571d49d90480515ed60b311ddab8d4250ec8062d4a62f6611"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08641",
    "kind": "arxiv",
    "version": 1
  }
}