Pith Number

pith:FWZOKBIX

pith:2007:FWZOKBIXJSFICBWEHMTXYBTYC4

not attested not anchored not stored refs pending

Reverse engineering small 4-manifolds

B. Doug Park, Ronald Fintushel, Ronald J. Stern

arxiv:math/0701846 v6 · 2007-01-29 · math.GT · 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{FWZOKBIXJSFICBWEHMTXYBTYC4}

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	2026-05-18T02:41:26.600657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2db2e505174c8a8106c43b277c06781709df4293a181c0ae4a61e63e0f2fc110

Aliases

arxiv: math/0701846 · arxiv_version: math/0701846v6 · doi: 10.48550/arxiv.math/0701846 · pith_short_12: FWZOKBIXJSFI · pith_short_16: FWZOKBIXJSFICBWE · pith_short_8: FWZOKBIX

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/FWZOKBIXJSFICBWEHMTXYBTYC4 \
  | 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: 2db2e505174c8a8106c43b277c06781709df4293a181c0ae4a61e63e0f2fc110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4440e36e4bfde5061112ec3de6192e2b4dde07f4d91f79386dd0d7e553a37195",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2007-01-29T19:11:31Z",
    "title_canon_sha256": "8222d9fff923d01df06c749e05dafddf4d4718e9acc69cb29a9e89f50365f984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701846",
    "kind": "arxiv",
    "version": 6
  }
}