Pith Number

pith:LUWUEHAH

pith:2004:LUWUEHAHPFLGZIE5UTXC3FDMFJ

not attested not anchored not stored refs pending

Span of the Jones polynomial of an alternating virtual link

Naoko Kamada

arxiv:math/0412074 v1 · 2004-12-03 · 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{LUWUEHAHPFLGZIE5UTXC3FDMFJ}

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	2026-05-18T02:41:32.164844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d2d421c0779566ca09da4ee2d946c2a4ba8eef25a155d32ded386d33a155339

Aliases

arxiv: math/0412074 · arxiv_version: math/0412074v1 · doi: 10.48550/arxiv.math/0412074 · pith_short_12: LUWUEHAHPFLG · pith_short_16: LUWUEHAHPFLGZIE5 · pith_short_8: LUWUEHAH

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/LUWUEHAHPFLGZIE5UTXC3FDMFJ \
  | 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: 5d2d421c0779566ca09da4ee2d946c2a4ba8eef25a155d32ded386d33a155339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "470ac303caaae7564bf7ecfe9f98d74e9c7c94b2fd7c538ede562336d2886555",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-12-03T13:47:26Z",
    "title_canon_sha256": "cefda175cb8320193e315dd802a26fc071664c01c4651c9f16058c0702f0921b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412074",
    "kind": "arxiv",
    "version": 1
  }
}