Pith Number

pith:63Z2XJO3

pith:2026:63Z2XJO3R2UC422SVPJ5SNRJV6

not attested not anchored not stored refs pending

Metric tensors and two-forms in information geometry from the GNS construction

A. Ibort, F.M. Ciaglia, L. Gonz\'alez-Bravo, M. Castrill\'on L\'opez

arxiv:2607.15800 v1 · 2026-07-17 · math-ph · 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{63Z2XJO3R2UC422SVPJ5SNRJV6}

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	2026-07-20T01:19:10.782756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6f3aba5db8ea82e6b52abd3d93629af830876dbe76c858cb566bfd7b13089f9

Aliases

arxiv: 2607.15800 · arxiv_version: 2607.15800v1 · doi: 10.48550/arxiv.2607.15800 · pith_short_12: 63Z2XJO3R2UC · pith_short_16: 63Z2XJO3R2UC422S · pith_short_8: 63Z2XJO3

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/63Z2XJO3R2UC422SVPJ5SNRJV6 \
  | 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: f6f3aba5db8ea82e6b52abd3d93629af830876dbe76c858cb566bfd7b13089f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6105e9db47072837c833209ae445d9e1d56b54247f0ffc5fcdccc8cfaf13ea51",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-17T10:13:12Z",
    "title_canon_sha256": "b4240af4dd37b845a53a3d1c65b91f190df9b7608171029c51bd2feaa1f43d91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15800",
    "kind": "arxiv",
    "version": 1
  }
}