Pith Number

pith:5TAFEWJA

pith:2026:5TAFEWJABJ6YVCFMZCDVTMT67Z

not attested not anchored not stored refs pending

Infrared Problem in Quantum Electrodynamics

Albert Schwarz, Igor Frolov

arxiv:2608.00204 v1 · 2026-07-31 · 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{5TAFEWJABJ6YVCFMZCDVTMT67Z}

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	2026-08-04T00:34:06.176623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecc05259200a7d8a88acc88759b27efe436d7a9eadb89a75595a20f3d6014207

Aliases

arxiv: 2608.00204 · arxiv_version: 2608.00204v1 · doi: 10.48550/arxiv.2608.00204 · pith_short_12: 5TAFEWJABJ6Y · pith_short_16: 5TAFEWJABJ6YVCFM · pith_short_8: 5TAFEWJA

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/5TAFEWJABJ6YVCFMZCDVTMT67Z \
  | 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: ecc05259200a7d8a88acc88759b27efe436d7a9eadb89a75595a20f3d6014207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84407280afea0a5831d34de361255e6a92fe52defcebeb0b9228fb3f3a831304",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-31T18:39:11Z",
    "title_canon_sha256": "f5914ac3ebe8cb7b8fbf492a490af6ce397478b3e5abdf985eb30aedb8ca0778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00204",
    "kind": "arxiv",
    "version": 1
  }
}