Pith Number

pith:3ROHO2DX

pith:2026:3ROHO2DX2RU4H4MWSOEP4Z62ZA

not attested not anchored not stored refs pending

Worldline representation of multiloop amplitudes in quantum electrodynamics

Carlos J. Servin Tomas, Christian Schubert, Cristofer Nava Jacuinde, Uwe M\"uller, Victor M. Banda Guzm\'an

arxiv:2607.13321 v1 · 2026-07-14 · 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{3ROHO2DX2RU4H4MWSOEP4Z62ZA}

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	2026-07-16T00:22:12.032542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc5c776877d469c3f1969388fe67dac83665a3c65800ea137212f22cc9817ab1

Aliases

arxiv: 2607.13321 · arxiv_version: 2607.13321v1 · doi: 10.48550/arxiv.2607.13321 · pith_short_12: 3ROHO2DX2RU4 · pith_short_16: 3ROHO2DX2RU4H4MW · pith_short_8: 3ROHO2DX

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/3ROHO2DX2RU4H4MWSOEP4Z62ZA \
  | 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: dc5c776877d469c3f1969388fe67dac83665a3c65800ea137212f22cc9817ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ddac7656622800e273db52486d80c7f79f06a6de966f33ac783a50836c1952b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-14T23:04:59Z",
    "title_canon_sha256": "f07278fa9173d8f200f35b8394b52c7e5c06a9a50253af6872925a997b0fd95b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13321",
    "kind": "arxiv",
    "version": 1
  }
}