Pith Number

pith:GI7IILV4

pith:2023:GI7IILV44SHN26PCY62KTRPHYV

not attested not anchored not stored refs pending

Gauge-Invariant Double-Copies via Recursion

Jacob L. Bourjaily, Kokkimidis Patatoukos, Michael Plesser, Nikhil Kalyanapuram, Yaqi Zhang

arxiv:2307.02542 v1 · 2023-07-05 · 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{GI7IILV44SHN26PCY62KTRPHYV}

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

1 paper in Pith

Tree Amplitudes with Charged Matter in Pure Gauge Theory

Receipt and verification

First computed	2026-07-05T06:28:21.400188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

323e842ebce48edd79e2c7b4a9c5e7c5646c0fd61deae2fd42f158ed9bcd26b0

Aliases

arxiv: 2307.02542 · arxiv_version: 2307.02542v1 · doi: 10.48550/arxiv.2307.02542 · pith_short_12: GI7IILV44SHN · pith_short_16: GI7IILV44SHN26PC · pith_short_8: GI7IILV4

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/GI7IILV44SHN26PCY62KTRPHYV \
  | 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: 323e842ebce48edd79e2c7b4a9c5e7c5646c0fd61deae2fd42f158ed9bcd26b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b70fcbdb4987f9c255ad8076bee3da515486825f410ace57a5f56187466bab4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-07-05T18:00:03Z",
    "title_canon_sha256": "2a6cefda641526aa19f6c6cf29c850350bc782af61737eaa20dcbff0d796d342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.02542",
    "kind": "arxiv",
    "version": 1
  }
}