Pith Number

pith:QWPB5LXJ

pith:2011:QWPB5LXJJNEUU4CCZJRXPLHTXT

not attested not anchored not stored refs pending

Double-logs, Gribov-Lipatov reciprocity and wrapping

V. N. Velizhanin

arxiv:1104.4100 v3 · 2011-04-20 · 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{QWPB5LXJJNEUU4CCZJRXPLHTXT}

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

Correction exponents in the chiral Heisenberg model at $1/N^2$: singular contributions and operator mixing

Receipt and verification

First computed	2026-05-18T02:02:17.291960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859e1eaee94b494a7042ca6377acf3bcf9d1035045b5b1373e92d8ab08dd66df

Aliases

arxiv: 1104.4100 · arxiv_version: 1104.4100v3 · doi: 10.48550/arxiv.1104.4100 · pith_short_12: QWPB5LXJJNEU · pith_short_16: QWPB5LXJJNEUU4CC · pith_short_8: QWPB5LXJ

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/QWPB5LXJJNEUU4CCZJRXPLHTXT \
  | 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: 859e1eaee94b494a7042ca6377acf3bcf9d1035045b5b1373e92d8ab08dd66df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f551215ad26443c7e0ab799e890b51165546255be8f6f31b87aca6d74cca5930",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-04-20T19:06:31Z",
    "title_canon_sha256": "b49df69986cd96e8b2667bc345adb25387ea5b45606e7b1032033dec2a10340f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4100",
    "kind": "arxiv",
    "version": 3
  }
}