Pith Number

pith:FPORMA4P

pith:2004:FPORMA4PXHN7WXZ4UCPKDRFJW2

not attested not anchored not stored refs pending

Knot spinning

Greg Friedman

arxiv:math/0410606 v2 · 2004-10-28 · 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{FPORMA4PXHN7WXZ4UCPKDRFJW2}

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	2026-05-18T04:25:26.369407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bdd16038fb9dbfb5f3ca09ea1c4a9b682a2a4ebbad724b92c0a3625a712eb15

Aliases

arxiv: math/0410606 · arxiv_version: math/0410606v2 · doi: 10.48550/arxiv.math/0410606 · pith_short_12: FPORMA4PXHN7 · pith_short_16: FPORMA4PXHN7WXZ4 · pith_short_8: FPORMA4P

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/FPORMA4PXHN7WXZ4UCPKDRFJW2 \
  | 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: 2bdd16038fb9dbfb5f3ca09ea1c4a9b682a2a4ebbad724b92c0a3625a712eb15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "125ce2d1aefe327d67c4967df132c3bb534fbc7996ab9f722f89684fff4c5a5a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-10-28T18:21:10Z",
    "title_canon_sha256": "1985e460c24f70a3949860992b3d0dc8fa1dbb468eedef4c0e118eb7c1299c33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410606",
    "kind": "arxiv",
    "version": 2
  }
}