Pith Number

pith:3YEYP3AH

pith:2025:3YEYP3AHW7VNJ4ECND3JVIVIDI

not attested not anchored not stored refs pending

Primal S-matrix bootstrap with dispersion relations

Andrew J. Tolley, Claudia de Rham, Shuang-Yong Zhou, Zhuo-Hui Wang

arxiv:2506.22546 v2 · 2025-06-27 · hep-th

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3YEYP3AHW7VNJ4ECND3JVIVIDI}

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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

6 papers in Pith

Positivity bounds from thermal field theory entropy

Positivity with Long-Range Interactions

Full positivity bounds for anomalous quartic gauge couplings in SMEFT

Analytic Bootstrap of the Veneziano Amplitude

The Phases of the Scalar S-Matrix Island

Receipt and verification

First computed	2026-05-21T02:04:49.410011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de0987ec07b7ead4f08268f69aa2a81a0afdfc3c701aa60915ee575d36ba7176

Aliases

arxiv: 2506.22546 · arxiv_version: 2506.22546v2 · doi: 10.48550/arxiv.2506.22546 · pith_short_12: 3YEYP3AHW7VN · pith_short_16: 3YEYP3AHW7VNJ4EC · pith_short_8: 3YEYP3AH

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/3YEYP3AHW7VNJ4ECND3JVIVIDI \
  | 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: de0987ec07b7ead4f08268f69aa2a81a0afdfc3c701aa60915ee575d36ba7176

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66430ecf38474f7599da5a02b43f8244aca50cfd90e4b7389a5148d73b299f17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-06-27T18:00:09Z",
    "title_canon_sha256": "0c6740f03f56bf62b55ab4546922b4b4a98141994e650362ddf8bff0616d8db2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22546",
    "kind": "arxiv",
    "version": 2
  }
}