Pith Number

pith:5X3TKVOM

pith:2012:5X3TKVOMFTR7OVYMEXWNMIALAS

not attested not anchored not stored refs pending

Quantization dimension for Gibbs-like measures on cookie-cutter sets

Mrinal Kanti Roychowdhury

arxiv:1207.5842 v4 · 2012-07-24 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5X3TKVOMFTR7OVYMEXWNMIALAS}

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	2026-05-18T01:23:32.392555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edf73555cc2ce3f7570c25ecd6200b04b419792f82e1784d4e6c3c63f934ac5c

Aliases

arxiv: 1207.5842 · arxiv_version: 1207.5842v4 · doi: 10.48550/arxiv.1207.5842 · pith_short_12: 5X3TKVOMFTR7 · pith_short_16: 5X3TKVOMFTR7OVYM · pith_short_8: 5X3TKVOM

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/5X3TKVOMFTR7OVYMEXWNMIALAS \
  | 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: edf73555cc2ce3f7570c25ecd6200b04b419792f82e1784d4e6c3c63f934ac5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13f858681ed2ab6b90513fbeeee275f128defcd855bcb21702f077ed85e3a615",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-07-24T22:36:20Z",
    "title_canon_sha256": "9921a425ed39b99d525d612d1cde3b99b8f75601ee26ce91aa0f0626eb5b21b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5842",
    "kind": "arxiv",
    "version": 4
  }
}