Pith Number

pith:UMB7KRWK

pith:1999:UMB7KRWKX4AFUUGTFHQ5WS7UXZ

not attested not anchored not stored refs pending

Perturbative Gravity from QCD Amplitudes

A. K. Grant, Z. Bern

arxiv:hep-th/9904026 v2 · 1999-04-05 · 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{UMB7KRWKX4AFUUGTFHQ5WS7UXZ}

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	2026-07-04T16:14:48.490171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a303f546cabf005a50d329e1db4bf4be5aa9c1183ff54814898aaf79250c6183

Aliases

arxiv: hep-th/9904026 · arxiv_version: hep-th/9904026v2 · doi: 10.48550/arxiv.hep-th/9904026 · pith_short_12: UMB7KRWKX4AF · pith_short_16: UMB7KRWKX4AFUUGT · pith_short_8: UMB7KRWK

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/UMB7KRWKX4AFUUGTFHQ5WS7UXZ \
  | 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: a303f546cabf005a50d329e1db4bf4be5aa9c1183ff54814898aaf79250c6183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f913eff0ac4351ff893824b1461f1359be7f28bc91b7ce67f9fe58e4ff80ef4a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-04-05T18:16:14Z",
    "title_canon_sha256": "2e5673e7fdfdf44cb2222308a9a1ea67aaa446e9bc514c849bb56510b7e347e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9904026",
    "kind": "arxiv",
    "version": 2
  }
}