Pith Number

pith:AUOTX7MZ

pith:2018:AUOTX7MZCONYCC7ZYSZRWDQDL5

not attested not anchored not stored refs pending

Tame the flexibility of circle patterns

Ze Zhou

arxiv:1805.08354 v1 · 2018-05-22 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUOTX7MZCONYCC7ZYSZRWDQDL5}

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	2026-05-18T00:15:26.801579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

051d3bfd99139b810bf9c4b31b0e035f76d7c00b2a4ac147190464d4b721f31e

Aliases

arxiv: 1805.08354 · arxiv_version: 1805.08354v1 · doi: 10.48550/arxiv.1805.08354 · pith_short_12: AUOTX7MZCONY · pith_short_16: AUOTX7MZCONYCC7Z · pith_short_8: AUOTX7MZ

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/AUOTX7MZCONYCC7ZYSZRWDQDL5 \
  | 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: 051d3bfd99139b810bf9c4b31b0e035f76d7c00b2a4ac147190464d4b721f31e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e3caf18a8f3ced253a10c4227a888ef52d33b961b3d99dd90de31c19696d8ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-05-22T02:09:40Z",
    "title_canon_sha256": "c353df129f7cc4473324d31780d8584970e0db770032f9b5261832f7123dc459"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08354",
    "kind": "arxiv",
    "version": 1
  }
}