Pith Number

pith:ZZU55GXO

pith:2013:ZZU55GXOCT3K2XFMMF3SHEHM5W

not attested not anchored not stored refs pending

On the category of weak bialgebras

Esperanza L\'opez-Centella, Gabriella B\"ohm, Jos\'e G\'omez-Torrecillas

arxiv:1306.1459 v2 · 2013-06-06 · 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{ZZU55GXOCT3K2XFMMF3SHEHM5W}

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	2026-05-18T03:09:48.396062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce69de9aee14f6ad5cac61772390eced838e1d0bddb086022b3c259fd35beb97

Aliases

arxiv: 1306.1459 · arxiv_version: 1306.1459v2 · doi: 10.48550/arxiv.1306.1459 · pith_short_12: ZZU55GXOCT3K · pith_short_16: ZZU55GXOCT3K2XFM · pith_short_8: ZZU55GXO

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/ZZU55GXOCT3K2XFMMF3SHEHM5W \
  | 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: ce69de9aee14f6ad5cac61772390eced838e1d0bddb086022b3c259fd35beb97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77ce9bf9a51898b2881bdf5e1af8a22c2c7d2ce1e7ea35062722b4182cf75957",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-06-06T16:26:19Z",
    "title_canon_sha256": "8e9f8661be0e508848f9d85de6b300da3773b4b5ec16acd605af522c3ebf5b90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1459",
    "kind": "arxiv",
    "version": 2
  }
}