Pith Number

pith:Z7ABJ5P7

pith:2003:Z7ABJ5P7H2EHAVNDTARY2YJ57F

not attested not anchored not stored refs pending

Operator Product Expansion and Quark-Hadron Duality: Facts and Riddles

Ralf Hofmann

arxiv:hep-ph/0312130 v2 · 2003-12-09 · 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{Z7ABJ5P7H2EHAVNDTARY2YJ57F}

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.

Cited by

1 paper in Pith

The OPE-Regge Transition in $J/\psi$ Photoproduction

Receipt and verification

First computed	2026-07-04T14:28:54.289378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfc014f5ff3e887055a398238d613df97440c3086b5316e7941d0efcfc35731c

Aliases

arxiv: hep-ph/0312130 · arxiv_version: hep-ph/0312130v2 · doi: 10.48550/arxiv.hep-ph/0312130 · pith_short_12: Z7ABJ5P7H2EH · pith_short_16: Z7ABJ5P7H2EHAVND · pith_short_8: Z7ABJ5P7

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/Z7ABJ5P7H2EHAVNDTARY2YJ57F \
  | 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: cfc014f5ff3e887055a398238d613df97440c3086b5316e7941d0efcfc35731c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0733b983f12935b7b4dca77a1b19596a241fbe2c0ad184f66a0239f288b34100",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-12-09T19:14:52Z",
    "title_canon_sha256": "32ec10a3c1176fc34823878f2ae53e2bba2663ce9a63e6a48941231f77cee9ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0312130",
    "kind": "arxiv",
    "version": 2
  }
}