Pith Number

pith:4XOV54MJ

pith:2011:4XOV54MJ3PUGIRY54F4HX2SQMI

not attested not anchored not stored refs pending

Roy-Steiner equations for gamma gamma -> pi pi

Carlos Schat, Daniel R. Phillips, Martin Hoferichter

arxiv:1106.4147 v2 · 2011-06-21 · hep-ph · hep-ex · nucl-ex · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XOV54MJ3PUGIRY54F4HX2SQMI}

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

Dispersion relations: foundations

Receipt and verification

First computed	2026-05-18T04:12:20.763374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5dd5ef189dbe864471de1787bea50622e66734c92f2b1e57a97da5e3dfa7b0f

Aliases

arxiv: 1106.4147 · arxiv_version: 1106.4147v2 · doi: 10.48550/arxiv.1106.4147 · pith_short_12: 4XOV54MJ3PUG · pith_short_16: 4XOV54MJ3PUGIRY5 · pith_short_8: 4XOV54MJ

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/4XOV54MJ3PUGIRY54F4HX2SQMI \
  | 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: e5dd5ef189dbe864471de1787bea50622e66734c92f2b1e57a97da5e3dfa7b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4636378bb69c7077c746973fae973e5adbb571d06c9f2c45a1e67d4de46566e",
    "cross_cats_sorted": [
      "hep-ex",
      "nucl-ex",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-06-21T09:36:55Z",
    "title_canon_sha256": "e6939624434c94a3cb39fa971e40c9bc9314ced7f9e0c2fdeda82fe43c552cbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4147",
    "kind": "arxiv",
    "version": 2
  }
}