Pith Number

pith:CTUUWDBG

pith:2016:CTUUWDBGMJLOISLDQSYXMEAP5O

not attested not anchored not stored refs pending

Diagrammatic Cancellations and the Gauge Dependence of QED

Dirk Kreimer, Henry Ki{\ss}ler

arxiv:1607.05729 v4 · 2016-07-19 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTUUWDBGMJLOISLDQSYXMEAP5O}

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	2026-05-18T00:54:47.536738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14e94b0c266256e4496384b176100feb8d47864d7ffa4b25738137dc679e5511

Aliases

arxiv: 1607.05729 · arxiv_version: 1607.05729v4 · doi: 10.48550/arxiv.1607.05729 · pith_short_12: CTUUWDBGMJLO · pith_short_16: CTUUWDBGMJLOISLD · pith_short_8: CTUUWDBG

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/CTUUWDBGMJLOISLDQSYXMEAP5O \
  | 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: 14e94b0c266256e4496384b176100feb8d47864d7ffa4b25738137dc679e5511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "053af3b2732225fee2e235291d40580b1eee40a2ce193f812a3a532821528e5e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-07-19T20:00:02Z",
    "title_canon_sha256": "8ff6c3f5dd5899afa8e9b6f0b3131441aad0e31929fe8bab50ec22632f3b43f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05729",
    "kind": "arxiv",
    "version": 4
  }
}