Pith Number

pith:PAUYPVXA

pith:2016:PAUYPVXAJ5PVGR47VMUDU67USJ

not attested not anchored not stored refs pending

Twisted bialgebroids versus bialgebroids from a Drinfeld twist

Andrzej Borowiec, Anna Pachol

arxiv:1603.09280 v3 · 2016-03-30 · math-ph · hep-th · math.MP · 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{PAUYPVXAJ5PVGR47VMUDU67USJ}

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	2026-05-18T00:52:58.827589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

782987d6e04f5f53479fab283a7bf492581b130fbd55abf8eabaeb7cda551c2c

Aliases

arxiv: 1603.09280 · arxiv_version: 1603.09280v3 · doi: 10.48550/arxiv.1603.09280 · pith_short_12: PAUYPVXAJ5PV · pith_short_16: PAUYPVXAJ5PVGR47 · pith_short_8: PAUYPVXA

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/PAUYPVXAJ5PVGR47VMUDU67USJ \
  | 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: 782987d6e04f5f53479fab283a7bf492581b130fbd55abf8eabaeb7cda551c2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "892cf754418dccc10ccb90fc752cb7f3a9a752709295098f774330a52e00a3b8",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-03-30T17:15:38Z",
    "title_canon_sha256": "65e0e56d03d9affd01aa59f66677d2dac42c975214b47095f97575e5e33d100b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09280",
    "kind": "arxiv",
    "version": 3
  }
}