Pith Number

pith:LV76RXV3

pith:2013:LV76RXV3YIFJDIAZK6O3EZ253L

not attested not anchored not stored refs pending

Quantum Lines for Dual Quasi-Bialgebras

Alessandro Ardizzoni, Claudia Menini, Margaret Beattie

arxiv:1312.2097 v1 · 2013-12-07 · math.QA · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LV76RXV3YIFJDIAZK6O3EZ253L}

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	2026-05-18T03:05:17.314274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d7fe8debbc20a91a019579db2675ddac56bc99171ac93b4e0c9fcc40d05e7d6

Aliases

arxiv: 1312.2097 · arxiv_version: 1312.2097v1 · doi: 10.48550/arxiv.1312.2097 · pith_short_12: LV76RXV3YIFJ · pith_short_16: LV76RXV3YIFJDIAZ · pith_short_8: LV76RXV3

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/LV76RXV3YIFJDIAZK6O3EZ253L \
  | 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: 5d7fe8debbc20a91a019579db2675ddac56bc99171ac93b4e0c9fcc40d05e7d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a92cf9edce69833d384477ebba5e3707624b99e3c6c735b64528424776580b59",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-12-07T14:27:02Z",
    "title_canon_sha256": "31e079ffc578a348d8f211e3e6eeac3322e60580cf4eb591cda27e8f1b32d81c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2097",
    "kind": "arxiv",
    "version": 1
  }
}