Pith Number

pith:R3QEFPCM

pith:2013:R3QEFPCM2SGJMQHNP6TKJTHDD4

not attested not anchored not stored refs pending

Analytic structure of $\phi^4$ theory using light-by-light sum rules

M. Vanderhaeghen, V. Pascalutsa, V. Pauk

arxiv:1304.2223 v1 · 2013-04-08 · hep-ph · hep-th · 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{R3QEFPCM2SGJMQHNP6TKJTHDD4}

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	2026-05-18T01:50:41.604882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ee042bc4cd48c9640ed7fa6a4cce31f3641c2ef9e98b791dd257e626fecb4c0

Aliases

arxiv: 1304.2223 · arxiv_version: 1304.2223v1 · doi: 10.48550/arxiv.1304.2223 · pith_short_12: R3QEFPCM2SGJ · pith_short_16: R3QEFPCM2SGJMQHN · pith_short_8: R3QEFPCM

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/R3QEFPCM2SGJMQHNP6TKJTHDD4 \
  | 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: 8ee042bc4cd48c9640ed7fa6a4cce31f3641c2ef9e98b791dd257e626fecb4c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1243588ae554d5e156603b2d077b72f0e55d0c595c51c635b4edb7f292ec35ad",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-04-08T14:42:45Z",
    "title_canon_sha256": "1aad6dfdd616fbd6fff8c5e6fa96d68e042ec5fe0f6d4be9a37c92fab186364e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2223",
    "kind": "arxiv",
    "version": 1
  }
}