Pith Number

pith:XCYZ5WXJ

pith:2011:XCYZ5WXJPVTB55PWQ4DDFH5TTQ

not attested not anchored not stored refs pending

Ultrametric Logarithm Laws, II

Amritanshu Prasad, Anish Ghosh, Jayadev S. Athreya

arxiv:1103.1698 v1 · 2011-03-09 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XCYZ5WXJPVTB55PWQ4DDFH5TTQ}

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	2026-05-18T04:27:05.943857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8b19edae97d661ef5f68706329fb39c1ebaf69acdfcf8cccf4b2eeb3d50c44b

Aliases

arxiv: 1103.1698 · arxiv_version: 1103.1698v1 · doi: 10.48550/arxiv.1103.1698 · pith_short_12: XCYZ5WXJPVTB · pith_short_16: XCYZ5WXJPVTB55PW · pith_short_8: XCYZ5WXJ

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/XCYZ5WXJPVTB55PWQ4DDFH5TTQ \
  | 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: b8b19edae97d661ef5f68706329fb39c1ebaf69acdfcf8cccf4b2eeb3d50c44b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68817131ec063905ce71b14fcef2b57e98438c6b2031dc0a9b0f3bcc29ab2335",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-03-09T04:10:16Z",
    "title_canon_sha256": "56c42c70bed435f709a21876792462f2035d90ecacb457eb756ec392055b7bb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1698",
    "kind": "arxiv",
    "version": 1
  }
}