Pith Number

pith:6L4GL3OB

pith:2010:6L4GL3OB3PPFZ2C2BOLLGS5S7J

not attested not anchored not stored refs pending

Sum rules for light-by-light scattering

Marc Vanderhaeghen (U. Mainz), Vladimir Pascalutsa

arxiv:1008.1088 v3 · 2010-08-05 · hep-ph · hep-th · nucl-th · quant-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{6L4GL3OB3PPFZ2C2BOLLGS5S7J}

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	2026-05-18T04:34:19.331614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2f865edc1dbde5ce85a0b96b34bb2fa76ca77b8dc71e7bf7763a77f0fb8ada1

Aliases

arxiv: 1008.1088 · arxiv_version: 1008.1088v3 · doi: 10.48550/arxiv.1008.1088 · pith_short_12: 6L4GL3OB3PPF · pith_short_16: 6L4GL3OB3PPFZ2C2 · pith_short_8: 6L4GL3OB

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/6L4GL3OB3PPFZ2C2BOLLGS5S7J \
  | 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: f2f865edc1dbde5ce85a0b96b34bb2fa76ca77b8dc71e7bf7763a77f0fb8ada1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd91934923ddf82a24edc8b0505927f96517e9e94fbe6d03f1df097c239d9574",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-08-05T21:36:49Z",
    "title_canon_sha256": "172d71100e44b887d6a66fe42cfb8e7506d011e3f28a7b0bac2cd6a4eb619670"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1088",
    "kind": "arxiv",
    "version": 3
  }
}