Pith Number

pith:JGZTKAS2

pith:2017:JGZTKAS2YGXMTOJDTQE4R5XW3B

not attested not anchored not stored refs pending

On sets of zero stationary harmonic measure

Eviatar B. Procaccia, Yuan Zhang

arxiv:1711.01013 v4 · 2017-11-03 · math.PR · 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{JGZTKAS2YGXMTOJDTQE4R5XW3B}

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	2026-05-17T23:57:48.823213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49b335025ac1aec9b9239c09c8f6f6d86fceffba7a263c85856bccd57895c492

Aliases

arxiv: 1711.01013 · arxiv_version: 1711.01013v4 · doi: 10.48550/arxiv.1711.01013 · pith_short_12: JGZTKAS2YGXM · pith_short_16: JGZTKAS2YGXMTOJD · pith_short_8: JGZTKAS2

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/JGZTKAS2YGXMTOJDTQE4R5XW3B \
  | 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: 49b335025ac1aec9b9239c09c8f6f6d86fceffba7a263c85856bccd57895c492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76da035917e5e49fa522ab1ca5a8691b699d9b21c6f95446fe150025f358b168",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-03T03:30:35Z",
    "title_canon_sha256": "7699e9e48d5b79161ef7797b1a442d34a05fcb84bebeaa518674a8b16b5a425a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01013",
    "kind": "arxiv",
    "version": 4
  }
}