Pith Number

pith:FBIDTJA5

pith:2017:FBIDTJA5PB2NWGARLSFKKHP4N7

not attested not anchored not stored refs pending

Mathematical renormalization in quantum electrodynamics via noncommutative generating series

G\'erard Henry Edmond Duchamp (LIPN), Karol A. Penson (LPTMC), Pierre Simonnet (SPE), Quoc Hoan Ngo (LIPN), Vincel Hoang Ngoc Minh (LIPN)

arxiv:1702.08550 v1 · 2017-02-23 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBIDTJA5PB2NWGARLSFKKHP4N7}

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	2026-05-18T00:49:48.415826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

285039a41d7874db18115c8aa51dfc6fc6b29dc49c62308fc05a982ae016457d

Aliases

arxiv: 1702.08550 · arxiv_version: 1702.08550v1 · doi: 10.48550/arxiv.1702.08550 · pith_short_12: FBIDTJA5PB2N · pith_short_16: FBIDTJA5PB2NWGAR · pith_short_8: FBIDTJA5

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/FBIDTJA5PB2NWGARLSFKKHP4N7 \
  | 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: 285039a41d7874db18115c8aa51dfc6fc6b29dc49c62308fc05a982ae016457d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "051b55ad5a159156b4a8b1d11db4e1781b4f87e8ae43f0bcd6195d8f78a2a146",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-23T14:43:57Z",
    "title_canon_sha256": "92a3b41993146fc0b84994694a5f5f8e8062e0a02d80f52bd0ff758c29ad7eb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08550",
    "kind": "arxiv",
    "version": 1
  }
}