Pith Number

pith:HHPZMGXN

pith:2006:HHPZMGXNDXGVUQ3NYHMPSN3GCK

not attested not anchored not stored refs pending

An isomorphism theorem for Alexander biquandles

Daisy Lam, Sam Nelson

arxiv:math/0611887 v2 · 2006-11-28 · math.QA · 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{HHPZMGXNDXGVUQ3NYHMPSN3GCK}

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	2026-05-18T04:08:53.110023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39df961aed1dcd5a436dc1d8f93766128c0bf11fb5197645da56050322f603af

Aliases

arxiv: math/0611887 · arxiv_version: math/0611887v2 · doi: 10.48550/arxiv.math/0611887 · pith_short_12: HHPZMGXNDXGV · pith_short_16: HHPZMGXNDXGVUQ3N · pith_short_8: HHPZMGXN

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/HHPZMGXNDXGVUQ3NYHMPSN3GCK \
  | 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: 39df961aed1dcd5a436dc1d8f93766128c0bf11fb5197645da56050322f603af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6933255f10d1f10afb43652142cedcf03b5eb5c0c8612ead576a0b22d24d4f15",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2006-11-28T22:07:44Z",
    "title_canon_sha256": "5b8ee2d87508cc51531055bdb6e71bb0043e70c0348ab59e89d8879c4ed9cd8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611887",
    "kind": "arxiv",
    "version": 2
  }
}