Pith Number

pith:2TNZ7MP3

pith:2013:2TNZ7MP3Y2LT2HZL5FTOZ7TZER

not attested not anchored not stored refs pending

Levy-Khintchine type representation of Dirichlet generators and Semi-Dirichlet forms

Jing Zhang, Wei Sun

arxiv:1303.3552 v2 · 2013-03-14 · 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{2TNZ7MP3Y2LT2HZL5FTOZ7TZER}

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	2026-05-18T03:28:16.955699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4db9fb1fbc6973d1f2be966ecfe792462264546ecbeca0007c154ba7a2d2720

Aliases

arxiv: 1303.3552 · arxiv_version: 1303.3552v2 · doi: 10.48550/arxiv.1303.3552 · pith_short_12: 2TNZ7MP3Y2LT · pith_short_16: 2TNZ7MP3Y2LT2HZL · pith_short_8: 2TNZ7MP3

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/2TNZ7MP3Y2LT2HZL5FTOZ7TZER \
  | 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: d4db9fb1fbc6973d1f2be966ecfe792462264546ecbeca0007c154ba7a2d2720

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "988f09b24857098151c23465facd71cecf7ec405f3c92db3bfce2e73701d71f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-14T19:00:57Z",
    "title_canon_sha256": "86bb64de5c71a9575ad96f6e48e2def05390e3f2940a1f543dc14b7e2cdea59c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3552",
    "kind": "arxiv",
    "version": 2
  }
}