Pith Number

pith:4D4CCQ73

pith:2010:4D4CCQ73QDHSN7LJDPEUEHTUKP

not attested not anchored not stored refs pending

A functor-valued extension of knot quandles

Tetsuya Ito

arxiv:1006.1949 v2 · 2010-06-10 · 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{4D4CCQ73QDHSN7LJDPEUEHTUKP}

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	2026-05-18T02:50:10.914976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0f82143fb80cf26fd691bc9421e7453cab7641ed98f172360bc352fe2aeab07

Aliases

arxiv: 1006.1949 · arxiv_version: 1006.1949v2 · doi: 10.48550/arxiv.1006.1949 · pith_short_12: 4D4CCQ73QDHS · pith_short_16: 4D4CCQ73QDHSN7LJ · pith_short_8: 4D4CCQ73

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/4D4CCQ73QDHSN7LJDPEUEHTUKP \
  | 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: e0f82143fb80cf26fd691bc9421e7453cab7641ed98f172360bc352fe2aeab07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfea9c921703e48e3e9d8f6fa2545652cebad9b2c6ace446f0e3e3a40b0dca3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-06-10T05:13:15Z",
    "title_canon_sha256": "35353cf268635cdac1d0809b7a49f68d20f821818e7d80bfaf38802359670657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1949",
    "kind": "arxiv",
    "version": 2
  }
}