Pith Number

pith:X3BIUQ7G

pith:2012:X3BIUQ7GGYZSWWPDMEULZ5V6V7

not attested not anchored not stored refs pending

Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes

H. Johansson, J. J. M. Carrasco, L. J. Dixon, R. Roiban, Z. Bern

arxiv:1201.5366 v2 · 2012-01-25 · 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{X3BIUQ7GGYZSWWPDMEULZ5V6V7}

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	2026-05-18T03:43:07.404140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bec28a43e636332b59e36128bcf6beafe68c9271f1800d9d7a300bd770c3d289

Aliases

arxiv: 1201.5366 · arxiv_version: 1201.5366v2 · doi: 10.48550/arxiv.1201.5366 · pith_short_12: X3BIUQ7GGYZS · pith_short_16: X3BIUQ7GGYZSWWPD · pith_short_8: X3BIUQ7G

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/X3BIUQ7GGYZSWWPDMEULZ5V6V7 \
  | 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: bec28a43e636332b59e36128bcf6beafe68c9271f1800d9d7a300bd770c3d289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e8e2c0b99809a8a58877851939ff7b98953defbea9b1d6ff701334787ad2889",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-01-25T20:42:51Z",
    "title_canon_sha256": "0a051ce7036e76e60a347861c3683a8c46d4776d09ad3c54e30f9381030908a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5366",
    "kind": "arxiv",
    "version": 2
  }
}