Pith Number

pith:24TKT2SI

pith:2012:24TKT2SIXFYPKLBM6RHDXSBMRO

not attested not anchored not stored refs pending

Compact convex sets of the plane and probability theory

David Renault, Jean-Fran\c{c}ois Marckert

arxiv:1208.5408 v2 · 2012-08-27 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24TKT2SIXFYPKLBM6RHDXSBMRO}

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	2026-05-18T02:55:04.376946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d726a9ea48b970f52c2cf44e3bc82c8b959245df450cfca8e2867f4247e96a42

Aliases

arxiv: 1208.5408 · arxiv_version: 1208.5408v2 · doi: 10.48550/arxiv.1208.5408 · pith_short_12: 24TKT2SIXFYP · pith_short_16: 24TKT2SIXFYPKLBM · pith_short_8: 24TKT2SI

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/24TKT2SIXFYPKLBM6RHDXSBMRO \
  | 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: d726a9ea48b970f52c2cf44e3bc82c8b959245df450cfca8e2867f4247e96a42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed9c6572d71aac177b7f566f25320b93af657f6a7c112740252b766dac089f9b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-27T14:33:42Z",
    "title_canon_sha256": "cfe14095f3f622ad03c99ac04ea031ea59ad5275d58f13d8cf04340becfb064f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5408",
    "kind": "arxiv",
    "version": 2
  }
}