Pith Number

pith:3W3P2LLJ

pith:2015:3W3P2LLJIAXNLRM7O7LWAWXHCP

not attested not anchored not stored refs pending

Momentum Routing Invariance in Extended QED: Assuring Gauge Invariance Beyond Tree Level

A. L. Cherchiglia, A. R. Vieira, Marcos Sampaio

arxiv:1510.05927 v2 · 2015-10-20 · hep-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{3W3P2LLJIAXNLRM7O7LWAWXHCP}

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	2026-05-18T01:21:44.452734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddb6fd2d69402ed5c59f77d7605ae713e8e0a1b3d878f7419ed31d53d93372b8

Aliases

arxiv: 1510.05927 · arxiv_version: 1510.05927v2 · doi: 10.48550/arxiv.1510.05927 · pith_short_12: 3W3P2LLJIAXN · pith_short_16: 3W3P2LLJIAXNLRM7 · pith_short_8: 3W3P2LLJ

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/3W3P2LLJIAXNLRM7O7LWAWXHCP \
  | 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: ddb6fd2d69402ed5c59f77d7605ae713e8e0a1b3d878f7419ed31d53d93372b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ea392447a6519355d6ba8b6137a93af1cdad81f4c3b44e949a3c52c32be8955",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-10-20T15:11:29Z",
    "title_canon_sha256": "88792093754d6d6eb15c7ada116061dbbfb98a69785cba3dab6b51f1bd668a59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05927",
    "kind": "arxiv",
    "version": 2
  }
}