Pith Number

pith:Y26HEPNW

pith:1994:Y26HEPNWDOB4WUHA4D6EJX4AX7

not attested not anchored not stored refs pending

State-Sum Invariants of 4-Manifolds I

David N. Yetter, Louis Crane, Louis H. Kauffman

arxiv:hep-th/9409167 v1 · 1994-09-27 · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y26HEPNWDOB4WUHA4D6EJX4AX7}

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	2026-07-04T15:08:53.312356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6bc723db61b83cb50e0e0fc44df80bfd4b8eb61383e585c950085111fb5da4d

Aliases

arxiv: hep-th/9409167 · arxiv_version: hep-th/9409167v1 · doi: 10.48550/arxiv.hep-th/9409167 · pith_short_12: Y26HEPNWDOB4 · pith_short_16: Y26HEPNWDOB4WUHA · pith_short_8: Y26HEPNW

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/Y26HEPNWDOB4WUHA4D6EJX4AX7 \
  | 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: c6bc723db61b83cb50e0e0fc44df80bfd4b8eb61383e585c950085111fb5da4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a36098bc450e2478857cb5be8d66785a3840d8b79b68a217cbd0ec8df5c213c9",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1994-09-27T19:12:00Z",
    "title_canon_sha256": "4de7b55f27a213f3a686752106214d0868c624ae7ea72ccdca36dc59591fe17b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9409167",
    "kind": "arxiv",
    "version": 1
  }
}