Pith Number

pith:O2HVFDD5

pith:2007:O2HVFDD5DKRD2XXHN5AE2EA3BA

not attested not anchored not stored refs pending

5-move equivalence classes of links and their algebraic invariants

Jozef H.Przytycki (George Washington University), Makiko Ishiwata (Osaka City University), Mieczyslaw K.Dabkowski (University of Texas at Dallas)

arxiv:0712.0985 v1 · 2007-12-06 · 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{O2HVFDD5DKRD2XXHN5AE2EA3BA}

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	2026-07-04T15:06:06.225111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

768f528c7d1aa23d5ee76f404d101b08044c4dd14cc58872d2d60909eb593e9a

Aliases

arxiv: 0712.0985 · arxiv_version: 0712.0985v1 · doi: 10.48550/arxiv.0712.0985 · pith_short_12: O2HVFDD5DKRD · pith_short_16: O2HVFDD5DKRD2XXH · pith_short_8: O2HVFDD5

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/O2HVFDD5DKRD2XXHN5AE2EA3BA \
  | 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: 768f528c7d1aa23d5ee76f404d101b08044c4dd14cc58872d2d60909eb593e9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72d7e8acb11e4c5da33e9e99f968f54367e5cb876547abdd76c276ceb0e2b2f3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-12-06T05:11:41Z",
    "title_canon_sha256": "1a5ffbd02fad91311dbd187f124a5d986f7f83e858f2b532ab879f69db1b0534"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0985",
    "kind": "arxiv",
    "version": 1
  }
}