Pith Number

pith:AUZLN64Q

pith:2013:AUZLN64QPH7OAM5P7NIRHS2MHK

not attested not anchored not stored refs pending

The Topology of Probability Distributions on Manifolds

Omer Bobrowski, Sayan Mukherjee

arxiv:1307.1123 v2 · 2013-07-03 · math.PR · math.AT · 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{AUZLN64QPH7OAM5P7NIRHS2MHK}

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	2026-05-18T02:57:26.783542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0532b6fb9079fee033affb5113cb4c3ab4ebf7afb6be2760a0756da7e369346a

Aliases

arxiv: 1307.1123 · arxiv_version: 1307.1123v2 · doi: 10.48550/arxiv.1307.1123 · pith_short_12: AUZLN64QPH7O · pith_short_16: AUZLN64QPH7OAM5P · pith_short_8: AUZLN64Q

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/AUZLN64QPH7OAM5P7NIRHS2MHK \
  | 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: 0532b6fb9079fee033affb5113cb4c3ab4ebf7afb6be2760a0756da7e369346a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cba5f3a2fc0e118168375461ca20335e5e9cdd126329909751224e704c149492",
    "cross_cats_sorted": [
      "math.AT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-03T19:57:54Z",
    "title_canon_sha256": "7a4994d2005b42af61abf42430732d2151f4803ca5e3767fc26dc14316f2878a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1123",
    "kind": "arxiv",
    "version": 2
  }
}