Pith Number

pith:G7XNONQI

pith:2021:G7XNONQIW6QJQ3MHWQFMCLCRLS

not attested not anchored not stored refs pending

Smoothly Splitting Amplitudes and Semi-Locality

Bruno Umbert, Freddy Cachazo, Nick Early

arxiv:2112.14191 v2 · 2021-12-28 · hep-th · math.AG · 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{G7XNONQIW6QJQ3MHWQFMCLCRLS}

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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

3 papers in Pith

Understanding zeros and splittings of ordered tree amplitudes via Feynman diagrams

Hidden Zeros and $2$-split via BCFW Recursion Relation

Soft theorems of tree-level ${\rm Tr}(\phi^3)$, YM and NLSM amplitudes from $2$-splits

Receipt and verification

First computed	2026-07-05T04:57:02.741822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37eed73608b7a0986d87b40ac12c515ca448438a248870f271a926444ea351b5

Aliases

arxiv: 2112.14191 · arxiv_version: 2112.14191v2 · doi: 10.48550/arxiv.2112.14191 · pith_short_12: G7XNONQIW6QJ · pith_short_16: G7XNONQIW6QJQ3MH · pith_short_8: G7XNONQI

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/G7XNONQIW6QJQ3MHWQFMCLCRLS \
  | 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: 37eed73608b7a0986d87b40ac12c515ca448438a248870f271a926444ea351b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c53640780b585305b64c6a9264fe82a2eb3581bfa9ae534c75885339e6848be0",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-28T15:42:54Z",
    "title_canon_sha256": "3cc7d7c9215556e04ee614b202d19f1b53a2efeb576397492114519f81e25238"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14191",
    "kind": "arxiv",
    "version": 2
  }
}