Pith Number

pith:BGYQZT4V

pith:2006:BGYQZT4VQB7RVK6KONLGIVUG6J

not attested not anchored not stored refs pending

Hidden Beauty in Multiloop Amplitudes

Anastasia Volovich, Freddy Cachazo, Marcus Spradlin

arxiv:hep-th/0601031 v2 · 2006-01-06 · 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{BGYQZT4VQB7RVK6KONLGIVUG6J}

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

On Carrollian Loop Amplitudes for Gauge Theory and Gravity

Receipt and verification

First computed	2026-07-04T17:01:49.603876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09b10ccf95807f1aabca7356645686f254769b82c9c23d3408c892688bab61fe

Aliases

arxiv: hep-th/0601031 · arxiv_version: hep-th/0601031v2 · doi: 10.48550/arxiv.hep-th/0601031 · pith_short_12: BGYQZT4VQB7R · pith_short_16: BGYQZT4VQB7RVK6K · pith_short_8: BGYQZT4V

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/BGYQZT4VQB7RVK6KONLGIVUG6J \
  | 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: 09b10ccf95807f1aabca7356645686f254769b82c9c23d3408c892688bab61fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9f7efaf6a9c971b466b886b12a92f07fb59c62daa62048556701baf3d7be829",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-01-06T20:48:11Z",
    "title_canon_sha256": "d96e118c853c674de52aa7fff0a5f0c420cdbaa6b737afbcb1e5c7bcb49853f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0601031",
    "kind": "arxiv",
    "version": 2
  }
}