Pith Number

pith:HWWWAU5E

pith:2018:HWWWAU5EXY7DMITWM3OPDA3D7Y

not attested not anchored not stored refs pending

A minimal counterexample to a strengthening of Perles' conjecture

Joseph Doolittle

arxiv:1809.00662 v2 · 2018-09-03 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWWWAU5EXY7DMITWM3OPDA3D7Y}

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	2026-05-18T00:06:17.994653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dad6053a4be3e36227666dcf18363fe348aca7c2763220929489eb8de1ab98d

Aliases

arxiv: 1809.00662 · arxiv_version: 1809.00662v2 · doi: 10.48550/arxiv.1809.00662 · pith_short_12: HWWWAU5EXY7D · pith_short_16: HWWWAU5EXY7DMITW · pith_short_8: HWWWAU5E

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/HWWWAU5EXY7DMITWM3OPDA3D7Y \
  | 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: 3dad6053a4be3e36227666dcf18363fe348aca7c2763220929489eb8de1ab98d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e81a29836ef1a08efd133107dc971e8358519df94be51b146d42a346dbd8f0a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-03T17:19:13Z",
    "title_canon_sha256": "71618e05a3295092865de95a8039322c4ab704ebd9dd3ff523f6cc42b5c8243a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00662",
    "kind": "arxiv",
    "version": 2
  }
}