Pith Number

pith:LPYNHKP5

pith:2023:LPYNHKP5VOW3EPTP2HMONJRZFN

not attested not anchored not stored refs pending

Loops of Loops Expansion in the Amplituhedron

Jaroslav Trnka, Shruti Paranjape, Taro V. Brown, Umut Oktem

arxiv:2312.17736 v1 · 2023-12-29 · 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{LPYNHKP5VOW3EPTP2HMONJRZFN}

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

Multi-Loop Negative Geometries

Landau Analysis of One-Cycle Negative Geometries

Receipt and verification

First computed	2026-07-05T07:28:55.958777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bf0d3a9fdabadb23e6fd1d8e6a6392b78977f7014ac253773738c3613bd6cbd

Aliases

arxiv: 2312.17736 · arxiv_version: 2312.17736v1 · doi: 10.48550/arxiv.2312.17736 · pith_short_12: LPYNHKP5VOW3 · pith_short_16: LPYNHKP5VOW3EPTP · pith_short_8: LPYNHKP5

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/LPYNHKP5VOW3EPTP2HMONJRZFN \
  | 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: 5bf0d3a9fdabadb23e6fd1d8e6a6392b78977f7014ac253773738c3613bd6cbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "593c5acede31d9b0c8c8e400c477f8e1c3ff0d78ed1946b46c7df80f873f17cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-12-29T18:43:35Z",
    "title_canon_sha256": "bcd8abd8344f21daf9b9467b2d6db5d3fd4f9cdc6704bc976ba25948a831b142"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.17736",
    "kind": "arxiv",
    "version": 1
  }
}