Pith Number

pith:2XELOOHN

pith:2023:2XELOOHNCG2B43OTGVGC7ZGV2A

not attested not anchored not stored refs pending

The Tropical Amplituhedron

Evgeniya Akhmedova, Ran J. Tessler

arxiv:2312.12319 v2 · 2023-12-19 · hep-th · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XELOOHNCG2B43OTGVGC7ZGV2A}

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

Multi-Loop Negative Geometries

Receipt and verification

First computed	2026-07-05T07:27:54.942990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5c8b738ed11b41e6dd3354c2fe4d5d0167f454d79e6a1172809e5ce201f85b2

Aliases

arxiv: 2312.12319 · arxiv_version: 2312.12319v2 · doi: 10.48550/arxiv.2312.12319 · pith_short_12: 2XELOOHNCG2B · pith_short_16: 2XELOOHNCG2B43OT · pith_short_8: 2XELOOHN

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/2XELOOHNCG2B43OTGVGC7ZGV2A \
  | 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: d5c8b738ed11b41e6dd3354c2fe4d5d0167f454d79e6a1172809e5ce201f85b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c8c6e22f0555fc23ad8b0bc626cba60ea19d9b08aac23481ee4ed84b4a010a4",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-12-19T16:44:15Z",
    "title_canon_sha256": "c0a900ad8c239b78b0b4e406e62064ccb6bec52c4f61a224a0b8c0b3dc0baf41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.12319",
    "kind": "arxiv",
    "version": 2
  }
}