Pith Number

pith:MPMWLW5D

pith:2001:MPMWLW5D37OVCR2J72V2XIPDK7

not attested not anchored not stored refs pending

Functional Closure of Schwinger-Dyson Equations in Quantum Electrodynamics, Part 1: Generation of Connected and One-Particle Irreducible Feynman Diagrams

Axel Pelster, Hagen Kleinert, Michael Bachmann

arxiv:hep-th/0109014 v1 · 2001-09-03 · 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{MPMWLW5D37OVCR2J72V2XIPDK7}

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	2026-05-18T01:38:50.450659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63d965dba3dfdd514749feababa1e357e0b5ccf12e68b0fdd63647adcb2597d1

Aliases

arxiv: hep-th/0109014 · arxiv_version: hep-th/0109014v1 · doi: 10.48550/arxiv.hep-th/0109014 · pith_short_12: MPMWLW5D37OV · pith_short_16: MPMWLW5D37OVCR2J · pith_short_8: MPMWLW5D

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/MPMWLW5D37OVCR2J72V2XIPDK7 \
  | 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: 63d965dba3dfdd514749feababa1e357e0b5ccf12e68b0fdd63647adcb2597d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84974a6de0b542d3415784d97b1e00063cc9b703e3973bc8382a5533fd1a7570",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-09-03T16:19:39Z",
    "title_canon_sha256": "2f3d3b4eb6191e842d9c4f8af18e6fa780fa074589401ef5fc0a5bce8f036572"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0109014",
    "kind": "arxiv",
    "version": 1
  }
}