Pith Number

pith:ZDQVZJ2U

pith:2010:ZDQVZJ2UIUK2KSMXAHPNRITT7V

not attested not anchored not stored refs pending

Quantifying The Complexity Of Geodesic Paths On Curved Statistical Manifolds Through Information Geometric Entropies and Jacobi Fields

Carlo Cafaro, Stefano Mancini

arxiv:1011.5555 v1 · 2010-11-25 · 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{ZDQVZJ2UIUK2KSMXAHPNRITT7V}

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	2026-05-18T02:04:39.128811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8e15ca7544515a5499701ded8a273fd7c975ea008d12b754c7535f2a0c424aa

Aliases

arxiv: 1011.5555 · arxiv_version: 1011.5555v1 · doi: 10.48550/arxiv.1011.5555 · pith_short_12: ZDQVZJ2UIUK2 · pith_short_16: ZDQVZJ2UIUK2KSMX · pith_short_8: ZDQVZJ2U

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/ZDQVZJ2UIUK2KSMXAHPNRITT7V \
  | 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: c8e15ca7544515a5499701ded8a273fd7c975ea008d12b754c7535f2a0c424aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e7df347420846e459502eab524db0b26657303d1a760d27cd399e2069b7b9b3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-25T06:26:24Z",
    "title_canon_sha256": "ac1698cc273356f5de18c0c8f76a544f629dea2f48c6045fc45a8e6a939b0f1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5555",
    "kind": "arxiv",
    "version": 1
  }
}