Pith Number

pith:U3XII7LJ

pith:2024:U3XII7LJU76STIL65MFMBJRLN6

not attested not anchored not stored refs pending

$\Phi^p$ Amplitudes from the Positive Tropical Grassmannian: Triangulations of Extended Diagrams

Bruno Gim\'enez Umbert, Karen Yeats

arxiv:2403.17051 v1 · 2024-03-25 · hep-th · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3XII7LJU76STIL65MFMBJRLN6}

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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

Understanding zeros and splittings of ordered tree amplitudes via Feynman diagrams

Receipt and verification

First computed	2026-07-05T08:00:44.353736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6ee847d69a7fd29a17eeb0ac0a62b6fb468234864de41b164a0c1f887af4907

Aliases

arxiv: 2403.17051 · arxiv_version: 2403.17051v1 · doi: 10.48550/arxiv.2403.17051 · pith_short_12: U3XII7LJU76S · pith_short_16: U3XII7LJU76STIL6 · pith_short_8: U3XII7LJ

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/U3XII7LJU76STIL65MFMBJRLN6 \
  | 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: a6ee847d69a7fd29a17eeb0ac0a62b6fb468234864de41b164a0c1f887af4907

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49e64967e6683f5409241efa7f8b22571287d4d6c8cc83a3b1a891d7b99a5811",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-03-25T18:00:01Z",
    "title_canon_sha256": "b72b5a783285035cc980b9dd935203e5a06f320ceb29259c8a89e926b17b8b1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.17051",
    "kind": "arxiv",
    "version": 1
  }
}