Pith Number

pith:2LEENCIB

pith:2021:2LEENCIBUNUMION734Z53JPC4B

not attested not anchored not stored refs pending

Double copy for Lagrangians at trilinear order

A. F. Sanfilippo, M. Beneke, P. Hager

arxiv:2106.09054 v2 · 2021-06-16 · 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{2LEENCIBUNUMION734Z53JPC4B}

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	2026-07-05T04:05:58.914161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2c8468901a368c439bfdf33dda5e2e05a01b84f499b6cc68b69c29445c661c3

Aliases

arxiv: 2106.09054 · arxiv_version: 2106.09054v2 · doi: 10.48550/arxiv.2106.09054 · pith_short_12: 2LEENCIBUNUM · pith_short_16: 2LEENCIBUNUMION7 · pith_short_8: 2LEENCIB

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/2LEENCIBUNUMION734Z53JPC4B \
  | 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: d2c8468901a368c439bfdf33dda5e2e05a01b84f499b6cc68b69c29445c661c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3779d9b9a2228a66045016d0f34be14cc5fb0a684613a510108e594dc3cada8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-06-16T18:00:26Z",
    "title_canon_sha256": "071222c49679c70c2a0c6b47767a88fa25950821de70b7ea73f738db33791f35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.09054",
    "kind": "arxiv",
    "version": 2
  }
}