Pith Number

pith:RKB67KCM

pith:2025:RKB67KCM2G7MQ7BNVH6PTWYMIK

not attested not anchored not stored refs pending

Geometric characterizations of ${\sf PI}$ spaces: an overview of some modern techniques

Emanuele Caputo

arxiv:2501.19132 v1 · 2025-01-31 · math.MG · 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{RKB67KCM2G7MQ7BNVH6PTWYMIK}

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	2026-07-05T10:07:56.756836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a83efa84cd1bec87c2da9fcf9db0c42b01910cdf8bf835e0d9afc052790130c

Aliases

arxiv: 2501.19132 · arxiv_version: 2501.19132v1 · doi: 10.48550/arxiv.2501.19132 · pith_short_12: RKB67KCM2G7M · pith_short_16: RKB67KCM2G7MQ7BN · pith_short_8: RKB67KCM

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/RKB67KCM2G7MQ7BNVH6PTWYMIK \
  | 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: 8a83efa84cd1bec87c2da9fcf9db0c42b01910cdf8bf835e0d9afc052790130c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2892820b761628b32e3f8280e94576eac4f07514c1f0c2d9fff62f08afcbdf33",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-01-31T13:37:54Z",
    "title_canon_sha256": "4ace9f77e0a3ac713d7fd071f9f1227f7751cc073409b25b6408a37197afdac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.19132",
    "kind": "arxiv",
    "version": 1
  }
}