Pith Number

pith:CK35TJ7U

pith:2021:CK35TJ7UJR536DQIMTI7ZQXKDX

not attested not anchored not stored refs pending

Physical Representations for Scattering Amplitudes and the Wavefunction of the Universe

Paolo Benincasa, William J. Torres Bobadilla

arxiv:2112.09028 v2 · 2021-12-16 · hep-th · gr-qc · hep-ph · 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{CK35TJ7UJR536DQIMTI7ZQXKDX}

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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

General finite two-loop amplitude integrand for photoproduction in quark annihilation

Receipt and verification

First computed	2026-07-05T04:05:15.681515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12b7d9a7f44c7bbf0e0864d1fcc2ea1dd24be90c080b4b9b82939ff27fddd519

Aliases

arxiv: 2112.09028 · arxiv_version: 2112.09028v2 · doi: 10.48550/arxiv.2112.09028 · pith_short_12: CK35TJ7UJR53 · pith_short_16: CK35TJ7UJR536DQI · pith_short_8: CK35TJ7U

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/CK35TJ7UJR536DQIMTI7ZQXKDX \
  | 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: 12b7d9a7f44c7bbf0e0864d1fcc2ea1dd24be90c080b4b9b82939ff27fddd519

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27981ba032982cdb2d3e16ed4458f39e46b785dc0857b87d467e894a097172fa",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-16T17:15:17Z",
    "title_canon_sha256": "0e1685ede068109700c5b8ab74da216054c7b9be8df2fcfbdf71dbc57215ce81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.09028",
    "kind": "arxiv",
    "version": 2
  }
}