Pith Number

pith:K7AERQO7

pith:2025:K7AERQO7N6WGHSVQ3SLGCL3KBZ

not attested not anchored not stored refs pending

Soft Factorisation and Exponentiation from Schwinger-Space Geometry

Carolina Figueiredo, Giulio Gambuti, Holmfridur S. Hannesdottir

arxiv:2506.15603 v1 · 2025-06-18 · hep-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7AERQO7N6WGHSVQ3SLGCL3KBZ}

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.

Receipt and verification

First computed	2026-07-05T11:23:46.875528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57c048c1df6fac63cab0dc96612f6a0e4d1b6a5a9aa28003099290073b00e7ea

Aliases

arxiv: 2506.15603 · arxiv_version: 2506.15603v1 · doi: 10.48550/arxiv.2506.15603 · pith_short_12: K7AERQO7N6WG · pith_short_16: K7AERQO7N6WGHSVQ · pith_short_8: K7AERQO7

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/K7AERQO7N6WGHSVQ3SLGCL3KBZ \
  | 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: 57c048c1df6fac63cab0dc96612f6a0e4d1b6a5a9aa28003099290073b00e7ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96c81ff3e22137fb2d1c73c26bb625a2ae40cd64a1bcf3cf22b180a21e59849c",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-06-18T16:25:17Z",
    "title_canon_sha256": "6cc6d883175751972b8b46ea977db00c707246eea2659b2075fc65bc189d5d2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.15603",
    "kind": "arxiv",
    "version": 1
  }
}