Pith Number

pith:PARJA3I3

pith:2017:PARJA3I3MR3YU4KPDJUGNN4FAN

not attested not anchored not stored refs pending

QED and QCD self-energy corrections through the loop-tree duality

Germ\'an Rodrigo, N. Selomit Ram\'irez-Uribe, Roger J. Hern\'andez-Pinto

arxiv:1709.07802 v2 · 2017-09-22 · 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{PARJA3I3MR3YU4KPDJUGNN4FAN}

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	2026-05-18T00:29:59.812770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7822906d1b64778a714f1a6866b7850366df0bffc2fa13b16a222310fbd43761

Aliases

arxiv: 1709.07802 · arxiv_version: 1709.07802v2 · doi: 10.48550/arxiv.1709.07802 · pith_short_12: PARJA3I3MR3Y · pith_short_16: PARJA3I3MR3YU4KP · pith_short_8: PARJA3I3

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/PARJA3I3MR3YU4KPDJUGNN4FAN \
  | 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: 7822906d1b64778a714f1a6866b7850366df0bffc2fa13b16a222310fbd43761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f4e742387b48af90f7a5b2c5f728257027e36cc682befbe4f7d10da0a5711d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-09-22T15:11:03Z",
    "title_canon_sha256": "69b5c83b0a1d180ab71ceebac04a75aa97778c2dacee8cf0dd9236fda9c73fec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07802",
    "kind": "arxiv",
    "version": 2
  }
}