Pith Number

pith:6ZZPYTQU

pith:2011:6ZZPYTQUFMB4N2K2TYGNWWBH36

not attested not anchored not stored refs pending

Fractal bodies invisible in 2 and 3 directions

Alexander Plakhov, Vera Roshchina

arxiv:1107.5667 v1 · 2011-07-28 · 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{6ZZPYTQUFMB4N2K2TYGNWWBH36}

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	2026-05-18T04:16:41.585802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f672fc4e142b03c6e95a9e0cdb5827df9b1a0fb4a7f68114de544b5048c86c82

Aliases

arxiv: 1107.5667 · arxiv_version: 1107.5667v1 · doi: 10.48550/arxiv.1107.5667 · pith_short_12: 6ZZPYTQUFMB4 · pith_short_16: 6ZZPYTQUFMB4N2K2 · pith_short_8: 6ZZPYTQU

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/6ZZPYTQUFMB4N2K2TYGNWWBH36 \
  | 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: f672fc4e142b03c6e95a9e0cdb5827df9b1a0fb4a7f68114de544b5048c86c82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbfaad0f9f9088b1cac3b6fa90a750dd0e391ac3facb015d3f2f5627b008fca5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-07-28T10:17:18Z",
    "title_canon_sha256": "74b3fb8466c5adef01e3f667512d2a7ac29c7b496415e91dc0d24ab6e9551d16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5667",
    "kind": "arxiv",
    "version": 1
  }
}