Pith Number

pith:7MM2JF6L

pith:2010:7MM2JF6LQFCKOYXAWW3JJVE3PY

not attested not anchored not stored refs pending

Integral calculus on $E_q(2)$

Tomasz Brzezi\'nski

arxiv:1003.2130 v2 · 2010-03-10 · math.QA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MM2JF6LQFCKOYXAWW3JJVE3PY}

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	2026-05-18T02:24:37.964773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb19a497cb8144a762e0b5b694d49b7e00b8742fcb1fe0e88df771e23eacdb6c

Aliases

arxiv: 1003.2130 · arxiv_version: 1003.2130v2 · doi: 10.48550/arxiv.1003.2130 · pith_short_12: 7MM2JF6LQFCK · pith_short_16: 7MM2JF6LQFCKOYXA · pith_short_8: 7MM2JF6L

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/7MM2JF6LQFCKOYXAWW3JJVE3PY \
  | 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: fb19a497cb8144a762e0b5b694d49b7e00b8742fcb1fe0e88df771e23eacdb6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd4829d9842e9abb3d7f59a16d791d9ada6f37684e5f276ba0e39f6902f19d8a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-03-10T15:44:03Z",
    "title_canon_sha256": "718ebc58926d6ad8c0445e73e77ffe838cd726427a9e8b613a003485b1e73579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2130",
    "kind": "arxiv",
    "version": 2
  }
}