Pith Number

pith:4P66OD57

pith:2006:4P66OD57V3SLKUGZFSKZCRDWJE

not attested not anchored not stored refs pending

On the Kocinac alpha_i properties

Boaz Tsaban

arxiv:math/0607592 v4 · 2006-07-24 · math.GN · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4P66OD57V3SLKUGZFSKZCRDWJE}

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	2026-05-18T04:36:59.701388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3fde70fbfaee4b550d92c95914476490b0eef6c4606d7b31c78b776e8e24ed2

Aliases

arxiv: math/0607592 · arxiv_version: math/0607592v4 · doi: 10.48550/arxiv.math/0607592 · pith_short_12: 4P66OD57V3SL · pith_short_16: 4P66OD57V3SLKUGZ · pith_short_8: 4P66OD57

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/4P66OD57V3SLKUGZFSKZCRDWJE \
  | 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: e3fde70fbfaee4b550d92c95914476490b0eef6c4606d7b31c78b776e8e24ed2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96e36a7ab09884d022552aab4f980486871c8c888e657ebf728485b67502c90c",
    "cross_cats_sorted": [
      "math.CO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2006-07-24T11:36:28Z",
    "title_canon_sha256": "90b05865454fc58fd491bf4dec9c9950b54d00f37a938664cdd05afdd2f541ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607592",
    "kind": "arxiv",
    "version": 4
  }
}