Pith Number

pith:IJVORLRQ

pith:2006:IJVORLRQ3QFTXDIZ4FVVTEIPTV

not attested not anchored not stored refs pending

A Geometrical Structure for an Infinite Oriented Cluster and its Uniqueness

Xian-Yuan Wu, Yu Zhang

arxiv:math/0603580 v1 · 2006-03-24 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJVORLRQ3QFTXDIZ4FVVTEIPTV}

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	2026-05-18T01:05:22.750088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

426ae8ae30dc0b3b8d19e16b59910f9d5d755a8149819991a76f8878239155a0

Aliases

arxiv: math/0603580 · arxiv_version: math/0603580v1 · doi: 10.48550/arxiv.math/0603580 · pith_short_12: IJVORLRQ3QFT · pith_short_16: IJVORLRQ3QFTXDIZ · pith_short_8: IJVORLRQ

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/IJVORLRQ3QFTXDIZ4FVVTEIPTV \
  | 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: 426ae8ae30dc0b3b8d19e16b59910f9d5d755a8149819991a76f8878239155a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1cf417c459077c2d13ba0ed971522635f63bff6dcae77b1367f820c36e01884",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-03-24T16:25:25Z",
    "title_canon_sha256": "89e9ed71bc2b9b51ed3b1e88590840ab014b7184140eac0613b0056dac067fe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603580",
    "kind": "arxiv",
    "version": 1
  }
}