Pith Number

pith:VV3V7BJ4

pith:2015:VV3V7BJ4FTU6KCZ5XUN4CIGULB

not attested not anchored not stored refs pending

Quantum Enhancements and Biquandle Brackets

Michael E. Orrison, Sam Nelson, Veronica Rivera

arxiv:1508.06573 v3 · 2015-08-26 · 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{VV3V7BJ4FTU6KCZ5XUN4CIGULB}

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	2026-05-18T00:50:40.575384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad775f853c2ce9e50b3dbd1bc120d45860613fc198ed88a58d2e0eaaa871320d

Aliases

arxiv: 1508.06573 · arxiv_version: 1508.06573v3 · doi: 10.48550/arxiv.1508.06573 · pith_short_12: VV3V7BJ4FTU6 · pith_short_16: VV3V7BJ4FTU6KCZ5 · pith_short_8: VV3V7BJ4

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/VV3V7BJ4FTU6KCZ5XUN4CIGULB \
  | 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: ad775f853c2ce9e50b3dbd1bc120d45860613fc198ed88a58d2e0eaaa871320d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e7309542faa38658d14082e6aac7ca6af1ce21f17b928611d21a963f5730e77",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-26T17:04:49Z",
    "title_canon_sha256": "419cad90592feb51e04c3af350be783243ce2b8e04374ceb059709a2c680d17f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06573",
    "kind": "arxiv",
    "version": 3
  }
}