Pith Number

pith:TX4PPSVD

pith:2006:TX4PPSVDFDHG4FNGEIB2ITIKPC

not attested not anchored not stored refs pending

A Schneider type theorem for Hopf algebroids

Alessandro Ardizzoni, Claudia Menini, Gabriella B\"ohm

arxiv:math/0612633 v2 · 2006-12-21 · 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{TX4PPSVDFDHG4FNGEIB2ITIKPC}

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	2026-05-18T04:03:45.675811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9df8f7caa328ce6e15a62203a44d0a78bb264db109849d24c4e66d0014491c45

Aliases

arxiv: math/0612633 · arxiv_version: math/0612633v2 · doi: 10.48550/arxiv.math/0612633 · pith_short_12: TX4PPSVDFDHG · pith_short_16: TX4PPSVDFDHG4FNG · pith_short_8: TX4PPSVD

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/TX4PPSVDFDHG4FNGEIB2ITIKPC \
  | 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: 9df8f7caa328ce6e15a62203a44d0a78bb264db109849d24c4e66d0014491c45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e94f4922cc933393d1187082c6547501ed1a57a137b417f87cfa11c2b885ff0e",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2006-12-21T08:54:21Z",
    "title_canon_sha256": "a26554af2c686a8c01910d3fca19feec699458fb8ac2f0595b922fdf4c05b4fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612633",
    "kind": "arxiv",
    "version": 2
  }
}