Pith Number

pith:3BORCOLO

pith:2004:3BORCOLOBVXXHSXD2MFULZEXWQ

not attested not anchored not stored refs pending

Signed ordered knotlike quandle presentations

Sam Nelson

arxiv:math/0408375 v3 · 2004-08-26 · 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{3BORCOLOBVXXHSXD2MFULZEXWQ}

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	2026-05-18T02:41:32.346736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d85d11396e0d6f73cae3d30b45e497b4262d69a24b3f92218aff7643021210cd

Aliases

arxiv: math/0408375 · arxiv_version: math/0408375v3 · doi: 10.48550/arxiv.math/0408375 · pith_short_12: 3BORCOLOBVXX · pith_short_16: 3BORCOLOBVXXHSXD · pith_short_8: 3BORCOLO

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/3BORCOLOBVXXHSXD2MFULZEXWQ \
  | 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: d85d11396e0d6f73cae3d30b45e497b4262d69a24b3f92218aff7643021210cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae147f10ba5172ed29c6cc4b0ffd634fe80733aeb6ebeb6c20eeb050cfc04e94",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-08-26T22:15:26Z",
    "title_canon_sha256": "469026816bfee08752e32f0df97c7e7824d51fd166883a661df75e286d822803"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408375",
    "kind": "arxiv",
    "version": 3
  }
}