Pith Number

pith:WLUZHBTX

pith:2018:WLUZHBTXMPKK5NXEXIMCEYHIZJ

not attested not anchored not stored refs pending

Topological characteristic factors along cubes of minimal systems

Fangzhou Cai, Song Shao

arxiv:1809.06737 v1 · 2018-09-17 · 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{WLUZHBTXMPKK5NXEXIMCEYHIZJ}

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	2026-05-18T00:05:24.809410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2e993867763d4aeb6e4ba182260e8ca5ac387a336e1bafb1562ce6f1ff899a2

Aliases

arxiv: 1809.06737 · arxiv_version: 1809.06737v1 · doi: 10.48550/arxiv.1809.06737 · pith_short_12: WLUZHBTXMPKK · pith_short_16: WLUZHBTXMPKK5NXE · pith_short_8: WLUZHBTX

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/WLUZHBTXMPKK5NXEXIMCEYHIZJ \
  | 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: b2e993867763d4aeb6e4ba182260e8ca5ac387a336e1bafb1562ce6f1ff899a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d47a60ee027d113c39bb99bee9f3432712b07253e0524218957fee7f9fd5647e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-09-17T11:00:44Z",
    "title_canon_sha256": "1e300d262acdfe7935e1d03ac3e126ab97d97895bbb3b966adc5560582d067f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06737",
    "kind": "arxiv",
    "version": 1
  }
}