Pith Number

pith:EU7HL37H

pith:2010:EU7HL37H727FJCCM7L7SRKKCOD

not attested not anchored not stored refs pending

Shape theory via affine transformation: Some generalisations

Francisco J. Caro-Lopera, Jose A. Diaz-Garcia

arxiv:1012.5856 v1 · 2010-12-29 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EU7HL37H727FJCCM7L7SRKKCOD}

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	2026-05-18T04:32:21.334460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

253e75efe7febe54884cfaff28a94270dd1b94a0bcabbb830f3ef1b0c8bb78ef

Aliases

arxiv: 1012.5856 · arxiv_version: 1012.5856v1 · doi: 10.48550/arxiv.1012.5856 · pith_short_12: EU7HL37H727F · pith_short_16: EU7HL37H727FJCCM · pith_short_8: EU7HL37H

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/EU7HL37H727FJCCM7L7SRKKCOD \
  | 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: 253e75efe7febe54884cfaff28a94270dd1b94a0bcabbb830f3ef1b0c8bb78ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49920a897d795c7d6b9b554ca62e8efdc7acec232d26ee80c411c3df3a505a03",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-12-29T00:34:46Z",
    "title_canon_sha256": "09fabf1f58c242264dea82beebdf271d5bfd70ed738aa9cf1fce3a7543fe3e88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5856",
    "kind": "arxiv",
    "version": 1
  }
}