Pith Number

pith:C67L2ENU

pith:2025:C67L2ENUXOWAVGHFQQEQB74BTG

not attested not anchored not stored refs pending

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian

Elefterios Soultanis, Enrico Pasqualetto, Jes\'us N\'u\~nez-Zimbr\'on

arxiv:2508.05483 v2 · 2025-08-07 · math.MG · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C67L2ENUXOWAVGHFQQEQB74BTG}

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	2026-07-05T12:09:22.547831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17bebd11b4bbac0a98e5840900ff8199831f5d7e1187a74170857eb4d42ad07c

Aliases

arxiv: 2508.05483 · arxiv_version: 2508.05483v2 · doi: 10.48550/arxiv.2508.05483 · pith_short_12: C67L2ENUXOWA · pith_short_16: C67L2ENUXOWAVGHF · pith_short_8: C67L2ENU

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/C67L2ENUXOWAVGHFQQEQB74BTG \
  | 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: 17bebd11b4bbac0a98e5840900ff8199831f5d7e1187a74170857eb4d42ad07c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c74a433d04367dae2972551f1824f7f3d4c1e2d7e6f51806394f9a234fb72a67",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-08-07T15:23:05Z",
    "title_canon_sha256": "8ff24a3767a2e7e685e89814dc3e2b40c4fdbfba71e9b33a0af4e6115c855e2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.05483",
    "kind": "arxiv",
    "version": 2
  }
}