Pith Number

pith:GKJMMI52

pith:2000:GKJMMI52TIXXY65SCZIAMYAEJN

not attested not anchored not stored refs pending

Flow equations for quark-gluon interactions in light-front QCD

Chueng-Ryong Ji, Elena Gubankova, Stephen R. Cotanch

arxiv:hep-ph/0008088 v2 · 2000-08-09 · 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{GKJMMI52TIXXY65SCZIAMYAEJN}

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	2026-07-04T16:20:17.253149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3292c623ba9a2f7c7bb216500660044b556f3fe81800ece93b83d27a9150cbdb

Aliases

arxiv: hep-ph/0008088 · arxiv_version: hep-ph/0008088v2 · doi: 10.48550/arxiv.hep-ph/0008088 · pith_short_12: GKJMMI52TIXX · pith_short_16: GKJMMI52TIXXY65S · pith_short_8: GKJMMI52

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/GKJMMI52TIXXY65SCZIAMYAEJN \
  | 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: 3292c623ba9a2f7c7bb216500660044b556f3fe81800ece93b83d27a9150cbdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22b227d2fe810a1c73e01d8acbfb8d6569b2aeac4bdfc3635fb7e1431f5025f6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-08-09T18:54:00Z",
    "title_canon_sha256": "8661a5dfe9535f1570602535941712a1e78ed2ab41e269fd2aca10f132034c7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0008088",
    "kind": "arxiv",
    "version": 2
  }
}