Pith Number

pith:MDS7DQ4G

pith:2011:MDS7DQ4G4EWUHOMYBFLLVN6JFU

not attested not anchored not stored refs pending

Parity Biquandles

Aaron Kaestner, Louis H. Kauffman

arxiv:1103.2825 v1 · 2011-03-15 · 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{MDS7DQ4G4EWUHOMYBFLLVN6JFU}

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	2026-05-18T04:26:46.454886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60e5f1c386e12d43b9980956bab7c92d1e70b2c4ea0aef3fa339857e30ee36d1

Aliases

arxiv: 1103.2825 · arxiv_version: 1103.2825v1 · doi: 10.48550/arxiv.1103.2825 · pith_short_12: MDS7DQ4G4EWU · pith_short_16: MDS7DQ4G4EWUHOMY · pith_short_8: MDS7DQ4G

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/MDS7DQ4G4EWUHOMYBFLLVN6JFU \
  | 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: 60e5f1c386e12d43b9980956bab7c92d1e70b2c4ea0aef3fa339857e30ee36d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "618a5069723a77b708639cb3fbb5b2d7c7ccdc44d92eac53f5a8f4eefd920156",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-03-15T01:39:26Z",
    "title_canon_sha256": "a43b5f3d8481f7c96eb2b4ece0fe7c0fd56335798b1851e140aaa617252bddac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2825",
    "kind": "arxiv",
    "version": 1
  }
}