Pith Number

pith:PB2RC7VL

pith:2021:PB2RC7VLHZVHDRCH355Q64PDLY

not attested not anchored not stored refs pending

Soft-collinear gravity beyond the leading power

Martin Beneke, Patrick Hager, Robert Szafron

arxiv:2112.04983 v2 · 2021-12-09 · hep-ph · gr-qc · 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{PB2RC7VLHZVHDRCH355Q64PDLY}

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

2 papers in Pith

Analytic structure of the high-energy gravitational amplitude: multi-H diagrams and classical 5PM logarithms

The Classical Gravitational Impulse at High Energies

Receipt and verification

First computed	2026-07-05T04:14:26.753098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7875117eab3e6a71c447df7b0f71e35e02e2519fb3103d18bb78e8d7b2c7b1b9

Aliases

arxiv: 2112.04983 · arxiv_version: 2112.04983v2 · doi: 10.48550/arxiv.2112.04983 · pith_short_12: PB2RC7VLHZVH · pith_short_16: PB2RC7VLHZVHDRCH · pith_short_8: PB2RC7VL

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/PB2RC7VLHZVHDRCH355Q64PDLY \
  | 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: 7875117eab3e6a71c447df7b0f71e35e02e2519fb3103d18bb78e8d7b2c7b1b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac9f341323893ae3d2e734a87c750cbc2fe4acb7abcf1ae71756be7a3078c0f3",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-12-09T15:21:40Z",
    "title_canon_sha256": "889ae25fe68de97a40756de3cfa5682996348ff1a6e65072159e22d3aaec9bfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.04983",
    "kind": "arxiv",
    "version": 2
  }
}