Pith Number

pith:ZK36ULD6

pith:2011:ZK36ULD67ZXWMXKHHRHJ75IQFI

not attested not anchored not stored refs pending

Kappa-Minkowski differential calculi and star product

Andrzej Sitarz, Flavio Mercati

arxiv:1105.1599 v1 · 2011-05-09 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZK36ULD67ZXWMXKHHRHJ75IQFI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:14:29.498275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab7ea2c7efe6f665d473c4e9ff5102a0def8faa2d832f3554810d52dbbd1164

Aliases

arxiv: 1105.1599 · arxiv_version: 1105.1599v1 · doi: 10.48550/arxiv.1105.1599 · pith_short_12: ZK36ULD67ZXW · pith_short_16: ZK36ULD67ZXWMXKH · pith_short_8: ZK36ULD6

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/ZK36ULD67ZXWMXKHHRHJ75IQFI \
  | 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: cab7ea2c7efe6f665d473c4e9ff5102a0def8faa2d832f3554810d52dbbd1164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef5113baa5afd65f091f15dcf79e100bc680acf5507c5da219a3f7c10d262813",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-05-09T08:13:41Z",
    "title_canon_sha256": "21cf3103d1585d469a5fa853f7dfdd787b411f655e4d47ae993b895c3621a665"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1599",
    "kind": "arxiv",
    "version": 1
  }
}