Pith Number

pith:PIOWFOBD

pith:2012:PIOWFOBDCMHSB2IIWAPUU7RZHG

not attested not anchored not stored refs pending

Geometry and Analysis of Dirichlet forms

Pekka Koskela, Yuan Zhou

arxiv:1208.4955 v1 · 2012-08-24 · math.CA · math.FA · math.MG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIOWFOBDCMHSB2IIWAPUU7RZHG}

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	2026-05-18T03:47:52.174702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a1d62b823130f20e908b01f4a7e3939a92dc739bfb40b19a1c9533a5ce36538

Aliases

arxiv: 1208.4955 · arxiv_version: 1208.4955v1 · doi: 10.48550/arxiv.1208.4955 · pith_short_12: PIOWFOBDCMHS · pith_short_16: PIOWFOBDCMHSB2II · pith_short_8: PIOWFOBD

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/PIOWFOBDCMHSB2IIWAPUU7RZHG \
  | 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: 7a1d62b823130f20e908b01f4a7e3939a92dc739bfb40b19a1c9533a5ce36538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcd86bf7fcc02dc4eb3d7609aa972b1d44092973609056f4a73a1785f193f0b3",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-08-24T11:33:46Z",
    "title_canon_sha256": "f5f9e441269da7791430111a9a8e8e7fc9d9e22a505140b8f58eafb81525fbab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4955",
    "kind": "arxiv",
    "version": 1
  }
}