Pith Number

pith:PHDLO6AO

pith:2005:PHDLO6AO2T3YJ5PPC7Q74U7Y7P

not attested not anchored not stored refs pending

Some comments on the divergence of perturbation series in Quantum Eletrodynamics

Mofazzal Azam

arxiv:hep-ph/0508017 v3 · 2005-08-01 · hep-ph · hep-th · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHDLO6AO2T3YJ5PPC7Q74U7Y7P}

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	2026-05-18T04:37:00.377155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79c6b7780ed4f784f5ef17e1fe53f8fbe4312e66666cd8a35f7c2dcf6ec1d256

Aliases

arxiv: hep-ph/0508017 · arxiv_version: hep-ph/0508017v3 · doi: 10.48550/arxiv.hep-ph/0508017 · pith_short_12: PHDLO6AO2T3Y · pith_short_16: PHDLO6AO2T3YJ5PP · pith_short_8: PHDLO6AO

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/PHDLO6AO2T3YJ5PPC7Q74U7Y7P \
  | 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: 79c6b7780ed4f784f5ef17e1fe53f8fbe4312e66666cd8a35f7c2dcf6ec1d256

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d9f7326985bd38360e7d9cd4b9dd8ed5d4a3fcb5297e0ecb253599bce6bc87c",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-08-01T09:29:21Z",
    "title_canon_sha256": "c788608cb759f16754b9222f4739f9024033005144c3b105693258e82ce2ee4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0508017",
    "kind": "arxiv",
    "version": 3
  }
}