Pith Number

pith:5EEI5W5K

pith:2011:5EEI5W5K7F266SEN4OHWHCAQ3Y

not attested not anchored not stored refs pending

Collinear and Soft Divergences in Perturbative Quantum Gravity

George Sterman, Ratindranath Akhoury, Ryo Saotome

arxiv:1109.0270 v1 · 2011-09-01 · hep-th · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EEI5W5K7F266SEN4OHWHCAQ3Y}

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

3 papers in Pith

Graviton scattering on self-dual black holes

Positivity with Long-Range Interactions

Negative running of gravitational positivity

Receipt and verification

First computed	2026-05-18T04:07:19.371474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9088edbaaf975ef488de38f638810de21a2fed295f40d73eb9214125906d6a6

Aliases

arxiv: 1109.0270 · arxiv_version: 1109.0270v1 · doi: 10.48550/arxiv.1109.0270 · pith_short_12: 5EEI5W5K7F26 · pith_short_16: 5EEI5W5K7F266SEN · pith_short_8: 5EEI5W5K

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/5EEI5W5K7F266SEN4OHWHCAQ3Y \
  | 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: e9088edbaaf975ef488de38f638810de21a2fed295f40d73eb9214125906d6a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1338d763ca0661b27a187840911e7536e548efc5175aa9117cf85f2d3b585b76",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-09-01T19:48:42Z",
    "title_canon_sha256": "a5c4ac002e1f2b7fd7d52526ba8c769bb087bb51ac06c89bafe72a5aebe3122e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0270",
    "kind": "arxiv",
    "version": 1
  }
}