Pith Number

pith:WE4GZHWY

pith:2014:WE4GZHWYBV42BXVUIX2THIITUQ

not attested not anchored not stored refs pending

Knots with compressible thin levels

Alexander Zupan, Ryan Blair

arxiv:1403.6211 v1 · 2014-03-25 · 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{WE4GZHWYBV42BXVUIX2THIITUQ}

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	2026-05-18T01:22:24.211921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1386c9ed80d79a0deb445f533a113a42c26ddb7c1b26d3e644ad7a19e4f4e98

Aliases

arxiv: 1403.6211 · arxiv_version: 1403.6211v1 · doi: 10.48550/arxiv.1403.6211 · pith_short_12: WE4GZHWYBV42 · pith_short_16: WE4GZHWYBV42BXVU · pith_short_8: WE4GZHWY

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/WE4GZHWYBV42BXVUIX2THIITUQ \
  | 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: b1386c9ed80d79a0deb445f533a113a42c26ddb7c1b26d3e644ad7a19e4f4e98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6486d2aa321bd23551fdbb7ab245048d638b75aa6749698ba7e94d32c632820",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-03-25T02:32:24Z",
    "title_canon_sha256": "72b66e584b9f44598b692dcf7a4e104a3a5bf51b2024a36f5ffa17eb0a6b16cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6211",
    "kind": "arxiv",
    "version": 1
  }
}