Pith Number

pith:GGBRSPFK

pith:2007:GGBRSPFK2XXIUFSBDGDNYA3H74

not attested not anchored not stored refs pending

A matrix formulation for small-x singlet evolution

A.M. Stasto, D. Colferai, G.P. Salam, M. Ciafaloni

arxiv:0707.1453 v1 · 2007-07-10 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGBRSPFK2XXIUFSBDGDNYA3H74}

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	2026-07-04T17:24:00.818385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3183193caad5ee8a16411986dc0367ff1b524fc43bcd146c0a910d27e091561c

Aliases

arxiv: 0707.1453 · arxiv_version: 0707.1453v1 · doi: 10.48550/arxiv.0707.1453 · pith_short_12: GGBRSPFK2XXI · pith_short_16: GGBRSPFK2XXIUFSB · pith_short_8: GGBRSPFK

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/GGBRSPFK2XXIUFSBDGDNYA3H74 \
  | 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: 3183193caad5ee8a16411986dc0367ff1b524fc43bcd146c0a910d27e091561c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "524e3f9e73202390776c225dcdd2a56d4782e6a40a7b65bffc46663bc59c7152",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-07-10T13:56:26Z",
    "title_canon_sha256": "72afabc7d347fe5605660e1ad9031e4473096efce2b78dd53601a5a31dd24d74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1453",
    "kind": "arxiv",
    "version": 1
  }
}