Pith Number

pith:UO5OFU6W

pith:2016:UO5OFU6WY5TF5SRLAMUIW5SZEM

not attested not anchored not stored refs pending

Gauge invariants from the powers of antipodes

Cris Negron, Siu-Hung Ng

arxiv:1609.00994 v3 · 2016-09-04 · 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{UO5OFU6WY5TF5SRLAMUIW5SZEM}

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	2026-05-18T00:34:35.331860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3bae2d3d6c7665eca2b03288b765923211381ec7ce5f59dacf860b801eb6d4b

Aliases

arxiv: 1609.00994 · arxiv_version: 1609.00994v3 · doi: 10.48550/arxiv.1609.00994 · pith_short_12: UO5OFU6WY5TF · pith_short_16: UO5OFU6WY5TF5SRL · pith_short_8: UO5OFU6W

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/UO5OFU6WY5TF5SRLAMUIW5SZEM \
  | 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: a3bae2d3d6c7665eca2b03288b765923211381ec7ce5f59dacf860b801eb6d4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad62325f97ab3ce8ce0e456d8911c21cb69fa7830838c8754c38a9236e40571a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-09-04T22:03:51Z",
    "title_canon_sha256": "77b5b4dd61c666e3c6364d49f262cd35be66a291a7f1f228efafad7dd5a8959a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00994",
    "kind": "arxiv",
    "version": 3
  }
}