Pith Number

pith:TZKXNVNT

pith:2017:TZKXNVNTD3GYVB6LUOKU4YN4YC

not attested not anchored not stored refs pending

Virtual Links with Finite Medial Bikei

Julien Chien, Sam Nelson

arxiv:1704.00812 v1 · 2017-04-03 · math.GT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZKXNVNTD3GYVB6LUOKU4YN4YC}

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	2026-05-18T00:47:19.169700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e5576d5b31ecd8a87cba3954e61bcc0a3177cab707192d74b2e656b455057ca

Aliases

arxiv: 1704.00812 · arxiv_version: 1704.00812v1 · doi: 10.48550/arxiv.1704.00812 · pith_short_12: TZKXNVNTD3GY · pith_short_16: TZKXNVNTD3GYVB6L · pith_short_8: TZKXNVNT

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/TZKXNVNTD3GYVB6LUOKU4YN4YC \
  | 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: 9e5576d5b31ecd8a87cba3954e61bcc0a3177cab707192d74b2e656b455057ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e4c992179f1f2887c01fe70e813c4659ef8e9fd81652e805f7568e3827428f3",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-04-03T21:18:44Z",
    "title_canon_sha256": "d7bd8182c907a66ce091ef89619ff0254b28841dede7286cd096c02de5fb2f6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00812",
    "kind": "arxiv",
    "version": 1
  }
}