Pith Number

pith:TGADXWO4

pith:2014:TGADXWO4SSSP6CC2FJ56J6ERTF

not attested not anchored not stored refs pending

Symmetric Enhancements of Involutory Virtual Birack Counting Invariants

Melinda Ho, Sam Nelson

arxiv:1410.4584 v3 · 2014-10-16 · 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{TGADXWO4SSSP6CC2FJ56J6ERTF}

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	2026-05-18T00:35:44.540041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99803bd9dc94a4ff085a2a7be4f89199482d5288d9d9b396bed1abe14bef9989

Aliases

arxiv: 1410.4584 · arxiv_version: 1410.4584v3 · doi: 10.48550/arxiv.1410.4584 · pith_short_12: TGADXWO4SSSP · pith_short_16: TGADXWO4SSSP6CC2 · pith_short_8: TGADXWO4

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/TGADXWO4SSSP6CC2FJ56J6ERTF \
  | 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: 99803bd9dc94a4ff085a2a7be4f89199482d5288d9d9b396bed1abe14bef9989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f7889d6b9c1c7d0b1672e03c9a00b856aa5f234e56e7463639f41f1887a980a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-10-16T20:32:14Z",
    "title_canon_sha256": "c96f2d7a7c511b0703cf591d59e120042485ba56510b74ba0d910cf766af64fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4584",
    "kind": "arxiv",
    "version": 3
  }
}