Pith Number

pith:37K3Y7DE

pith:2007:37K3Y7DEVQUNY4QADLEA4GY2V5

not attested not anchored not stored refs pending

Morse Inequalities for Orbifold Cohomology

Richard A. Hepworth

arxiv:0712.2432 v1 · 2007-12-14 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37K3Y7DEVQUNY4QADLEA4GY2V5}

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	2026-05-18T04:42:02.120062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfd5bc7c64ac28dc72001ac80e1b1aaf745457bb537184cf0dda5ce5fa8fc1dd

Aliases

arxiv: 0712.2432 · arxiv_version: 0712.2432v1 · doi: 10.48550/arxiv.0712.2432 · pith_short_12: 37K3Y7DEVQUN · pith_short_16: 37K3Y7DEVQUNY4QA · pith_short_8: 37K3Y7DE

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/37K3Y7DEVQUNY4QADLEA4GY2V5 \
  | 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: dfd5bc7c64ac28dc72001ac80e1b1aaf745457bb537184cf0dda5ce5fa8fc1dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eced006f80f4937bbd9fa506db198159b19a400f4611515588e33c3e214ec9a1",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-12-14T19:14:13Z",
    "title_canon_sha256": "cf995db54c98873c6c17f6b9d6d15d1db13eb4f1524720a8d217e59baafd1941"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2432",
    "kind": "arxiv",
    "version": 1
  }
}