Pith Number

pith:F3AH6UO2

pith:2010:F3AH6UO2O636LDWYHXRP2XK3IR

not attested not anchored not stored refs pending

Euler-Heisenberg lagrangians and asymptotic analysis in 1+1 QED, part 1: Two-loop

C. Schubert, D.G.C. McKeon, I. Huet

arxiv:1010.5315 v2 · 2010-10-26 · hep-th · hep-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{F3AH6UO2O636LDWYHXRP2XK3IR}

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.

Cited by

1 paper in Pith

Nonlinear trident using WKB and worldline instantons

Receipt and verification

First computed	2026-05-18T04:30:36.209961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ec07f51da77b7e58ed83de2fd5d5b4445a7c3153b9afa0edb2ea2ab9aed2656

Aliases

arxiv: 1010.5315 · arxiv_version: 1010.5315v2 · doi: 10.48550/arxiv.1010.5315 · pith_short_12: F3AH6UO2O636 · pith_short_16: F3AH6UO2O636LDWY · pith_short_8: F3AH6UO2

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/F3AH6UO2O636LDWYHXRP2XK3IR \
  | 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: 2ec07f51da77b7e58ed83de2fd5d5b4445a7c3153b9afa0edb2ea2ab9aed2656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4163a667e5b300181d4431c4f06f0b5512e9eb4f47261d7eb359a7e238ea2896",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-10-26T04:53:13Z",
    "title_canon_sha256": "053de87ef52a856a6360a7b5a35aa9386086d23b9a906e8c3c2a3944a6cfd66d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5315",
    "kind": "arxiv",
    "version": 2
  }
}