Pith Number

pith:PQ4AVXX4

pith:2024:PQ4AVXX43ZPJ6YIS7UAFLDMENW

not attested not anchored not stored refs pending

The S-matrix bootstrap with neural optimizers I: zero double discontinuity

Alexander Zhiboedov, Damien Leflot, Mehmet Asim Gumus, Piotr Tourkine

arxiv:2412.09610 v1 · 2024-12-12 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQ4AVXX43ZPJ6YIS7UAFLDMENW}

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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

4 papers in Pith

Primal S-matrix bootstrap with dispersion relations

Positivity with Long-Range Interactions

Descending into the Modular Bootstrap

The Phases of the Scalar S-Matrix Island

Receipt and verification

First computed	2026-07-05T09:48:27.126687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c380adefcde5e9f6112fd00558d846dabffc6b5698a8e49cbdedac586607ec6

Aliases

arxiv: 2412.09610 · arxiv_version: 2412.09610v1 · doi: 10.48550/arxiv.2412.09610 · pith_short_12: PQ4AVXX43ZPJ · pith_short_16: PQ4AVXX43ZPJ6YIS · pith_short_8: PQ4AVXX4

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/PQ4AVXX43ZPJ6YIS7UAFLDMENW \
  | 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: 7c380adefcde5e9f6112fd00558d846dabffc6b5698a8e49cbdedac586607ec6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c18024cb72769b34678b42a9d2174152f4d4499a718dd3b139689bf71a9fffd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-12-12T18:59:37Z",
    "title_canon_sha256": "b88d21c9bff377424b6f73e1fec96aae40c000c4ea9caee467d8779533741976"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.09610",
    "kind": "arxiv",
    "version": 1
  }
}