Pith Number

pith:BX72RCMA

pith:2008:BX72RCMAMQ33YZ6LEK745I5HKM

not attested not anchored not stored refs pending

Reparameterization Invariant Collinear Operators

Claudio Marcantonini, Iain W. Stewart

arxiv:0809.1093 v2 · 2008-09-08 · hep-ph · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BX72RCMAMQ33YZ6LEK745I5HKM}

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	2026-07-04T16:21:58.512246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dffa889806437bc67cb22bfcea3a7533efe8a6242e4962c67c9588d2c197540

Aliases

arxiv: 0809.1093 · arxiv_version: 0809.1093v2 · doi: 10.48550/arxiv.0809.1093 · pith_short_12: BX72RCMAMQ33 · pith_short_16: BX72RCMAMQ33YZ6L · pith_short_8: BX72RCMA

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/BX72RCMAMQ33YZ6LEK745I5HKM \
  | 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: 0dffa889806437bc67cb22bfcea3a7533efe8a6242e4962c67c9588d2c197540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98f7bc2ab7ed189f79faa79d923fa53c125622b5bd2cc1a171d9b9ea233ca30f",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2008-09-08T19:54:22Z",
    "title_canon_sha256": "c3e21da88e4eebec45d56149e5e897cec3d2da29858e883d0d5c3ccc9b52cb67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.1093",
    "kind": "arxiv",
    "version": 2
  }
}