Pith Number

pith:KQHPJVSZ

pith:2016:KQHPJVSZVVPVZCF7C4W4EPHKJT

not attested not anchored not stored refs pending

Functional flows in QED and the modified Ward-Takahashi identity

Jan M. Pawlowski, Katsumi Itoh, Yuji Igarashi

arxiv:1604.08327 v1 · 2016-04-28 · 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{KQHPJVSZVVPVZCF7C4W4EPHKJT}

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	2026-05-18T01:02:44.381272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

540ef4d659ad5f5c88bf172dc23cea4cfae1c3e0d4d8f3c81b2c4e522671d14b

Aliases

arxiv: 1604.08327 · arxiv_version: 1604.08327v1 · doi: 10.48550/arxiv.1604.08327 · pith_short_12: KQHPJVSZVVPV · pith_short_16: KQHPJVSZVVPVZCF7 · pith_short_8: KQHPJVSZ

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/KQHPJVSZVVPVZCF7C4W4EPHKJT \
  | 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: 540ef4d659ad5f5c88bf172dc23cea4cfae1c3e0d4d8f3c81b2c4e522671d14b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f7e9552135a36c1ad52024851eaeb354972549fbdf66b321398d4ea502bdcc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-04-28T07:24:58Z",
    "title_canon_sha256": "b3c037bdf5e5c6108f28b68db3a6e5cfb0c4d3f46e1f6e8e3be9a0fe37e3b9cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08327",
    "kind": "arxiv",
    "version": 1
  }
}