Pith Number

pith:Z2K7ARNM

pith:2013:Z2K7ARNMQN2PTC7K7SL7ISPRCN

not attested not anchored not stored refs pending

Self-affine sets and the continuity of subadditive pressure

Pablo Shmerkin

arxiv:1309.4730 v1 · 2013-09-18 · 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{Z2K7ARNMQN2PTC7K7SL7ISPRCN}

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	2026-05-18T03:12:58.469744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce95f045ac8374f98beafc97f449f1134c493a5fa5e4a7ed2025c7f5627c12ce

Aliases

arxiv: 1309.4730 · arxiv_version: 1309.4730v1 · doi: 10.48550/arxiv.1309.4730 · pith_short_12: Z2K7ARNMQN2P · pith_short_16: Z2K7ARNMQN2PTC7K · pith_short_8: Z2K7ARNM

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/Z2K7ARNMQN2PTC7K7SL7ISPRCN \
  | 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: ce95f045ac8374f98beafc97f449f1134c493a5fa5e4a7ed2025c7f5627c12ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ecc28512aea8f25c14022723e12a1ada2000fe2d7e0dfe1646a3655e129aa53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-18T18:07:26Z",
    "title_canon_sha256": "82f4cac93c28936c7db6e8ebe3cb60d403cd5448cfb1c03a75cbbf2fe1a2e28d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4730",
    "kind": "arxiv",
    "version": 1
  }
}