Pith Number

pith:AIFPJNBT

pith:2011:AIFPJNBTCGXXUJM5W2AOJQEYX4

not attested not anchored not stored refs pending

On threshold resummation of singlet structure and fragmentation functions

Georges Grunberg

arxiv:1101.5377 v3 · 2011-01-27 · 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{AIFPJNBTCGXXUJM5W2AOJQEYX4}

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	2026-05-18T02:03:21.174508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

020af4b43311af7a259db680e4c098bf3a6d7f4fc8e6d10194e85bc393181447

Aliases

arxiv: 1101.5377 · arxiv_version: 1101.5377v3 · doi: 10.48550/arxiv.1101.5377 · pith_short_12: AIFPJNBTCGXX · pith_short_16: AIFPJNBTCGXXUJM5 · pith_short_8: AIFPJNBT

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/AIFPJNBTCGXXUJM5W2AOJQEYX4 \
  | 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: 020af4b43311af7a259db680e4c098bf3a6d7f4fc8e6d10194e85bc393181447

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b30ec441488a8ddd4f8c3c175d48ee75c93d6f7e6ad9f6947ccdae39135c79a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-01-27T20:09:34Z",
    "title_canon_sha256": "3d9f049b5caf61ce49dbe47203336a60744ab3a6043e4db6807cd88ab764dda9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5377",
    "kind": "arxiv",
    "version": 3
  }
}