Pith Number

pith:4MGJOU3L

pith:2011:4MGJOU3LLDP6CDX2C4EUBQ2VCN

not attested not anchored not stored refs pending

Effective local connectivity properties

Dale Daniel, Timothy H. McNicholl

arxiv:1106.3318 v3 · 2011-06-16 · math.LO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MGJOU3LLDP6CDX2C4EUBQ2VCN}

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	2026-05-18T04:01:51.023763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e30c97536b58dfe10efa170940c355134d7e7a0a6de762abf44c1cbbaeb8563e

Aliases

arxiv: 1106.3318 · arxiv_version: 1106.3318v3 · doi: 10.48550/arxiv.1106.3318 · pith_short_12: 4MGJOU3LLDP6 · pith_short_16: 4MGJOU3LLDP6CDX2 · pith_short_8: 4MGJOU3L

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/4MGJOU3LLDP6CDX2C4EUBQ2VCN \
  | 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: e30c97536b58dfe10efa170940c355134d7e7a0a6de762abf44c1cbbaeb8563e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2db80ea30edddf107141d4f21fd1aa4a4d2ce5d316d35e5373c7e1af13538457",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-06-16T19:44:12Z",
    "title_canon_sha256": "2590a5b5476d99110cc47356bdadd14908f4e4d5dafbf3a05f068e8840e5745c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3318",
    "kind": "arxiv",
    "version": 3
  }
}