Pith Number

pith:AA65CUYI

pith:2022:AA65CUYI5SLYBRHXME6DT7BLC7

not attested not anchored not stored refs pending

Connecting Scalar Amplitudes using The Positive Tropical Grassmannian

Bruno Gim\'enez Umbert, Freddy Cachazo

arxiv:2205.02722 v1 · 2022-05-05 · 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{AA65CUYI5SLYBRHXME6DT7BLC7}

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	2026-07-05T04:20:40.432990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

003dd15308ec9780c4f7613c39fc2b17c34bfe673e074a690bdbef096cdbd572

Aliases

arxiv: 2205.02722 · arxiv_version: 2205.02722v1 · doi: 10.48550/arxiv.2205.02722 · pith_short_12: AA65CUYI5SLY · pith_short_16: AA65CUYI5SLYBRHX · pith_short_8: AA65CUYI

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/AA65CUYI5SLYBRHXME6DT7BLC7 \
  | 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: 003dd15308ec9780c4f7613c39fc2b17c34bfe673e074a690bdbef096cdbd572

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35ac1bac1089ea8fe9ac4c3bcc7813443aeb75d1263cedbe3126fb90edfaf268",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-05-05T15:53:17Z",
    "title_canon_sha256": "5add11cbcbe59932e9951b60283763e795f33798685231f374e6cfc5afdf1720"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.02722",
    "kind": "arxiv",
    "version": 1
  }
}