Pith Number

pith:X5IWATY5

pith:2021:X5IWATY5WBREMSCC6IT4UWU2FE

not attested not anchored not stored refs pending

S-matrix bootstrap in 3+1 dimensions: regularization and dual convex problem

Martin Kruczenski, Yifei He

arxiv:2103.11484 v3 · 2021-03-21 · 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{X5IWATY5WBREMSCC6IT4UWU2FE}

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.

Cited by

1 paper in Pith

Primal S-matrix bootstrap with dispersion relations

Receipt and verification

First computed	2026-07-05T03:14:12.264900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf51604f1db062464842f227ca5a9a2910fb0f34c3c32bef5620fb5de1ead0e9

Aliases

arxiv: 2103.11484 · arxiv_version: 2103.11484v3 · doi: 10.48550/arxiv.2103.11484 · pith_short_12: X5IWATY5WBRE · pith_short_16: X5IWATY5WBREMSCC · pith_short_8: X5IWATY5

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/X5IWATY5WBREMSCC6IT4UWU2FE \
  | 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: bf51604f1db062464842f227ca5a9a2910fb0f34c3c32bef5620fb5de1ead0e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cd240bf6f0c59cac4310824128517a9898676e4f404137e64856da7843dc074",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-03-21T20:53:01Z",
    "title_canon_sha256": "bf45cd725e8ecb11755583730b6d534aae7b39fa0fecf286788704f9760473ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.11484",
    "kind": "arxiv",
    "version": 3
  }
}