Pith Number

pith:EK76PMZ2

pith:2018:EK76PMZ2W4OTCJUW3N6IDAEDEJ

not attested not anchored not stored refs pending

An Alpern tower independent of a given partition

J.T. Campbell, J.T. Collins, R. King, R. McCutcheon, S. Kalikow

arxiv:1806.02745 v1 · 2018-06-07 · 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{EK76PMZ2W4OTCJUW3N6IDAEDEJ}

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	2026-05-18T00:13:55.781144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22bfe7b33ab71d312696db7c8180832250630728ee3745b164f93f112b2928a8

Aliases

arxiv: 1806.02745 · arxiv_version: 1806.02745v1 · doi: 10.48550/arxiv.1806.02745 · pith_short_12: EK76PMZ2W4OT · pith_short_16: EK76PMZ2W4OTCJUW · pith_short_8: EK76PMZ2

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/EK76PMZ2W4OTCJUW3N6IDAEDEJ \
  | 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: 22bfe7b33ab71d312696db7c8180832250630728ee3745b164f93f112b2928a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edadc73eba746263afa207b8ed5e4ac9c46af3f5ddc6202589d615016659270f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-06-07T15:59:14Z",
    "title_canon_sha256": "660bcbe8f3685aa36b245281426876321fa41d3b4fa009b5f04e3577a6194a42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02745",
    "kind": "arxiv",
    "version": 1
  }
}