Pith Number

pith:BGW4VE5M

pith:2018:BGW4VE5MLVOIID4TDWAPT7Z3BJ

not attested not anchored not stored refs pending

Asymmetric tie-points and almost clopen subsets of N*

Alan Dow, Saharon Shelah

arxiv:1801.02523 v1 · 2018-01-08 · 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{BGW4VE5MLVOIID4TDWAPT7Z3BJ}

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	2026-05-18T00:26:31.264392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09adca93ac5d5c840f931d80f9ff3b0a5ef32e3152e54c81ff28b06844005cef

Aliases

arxiv: 1801.02523 · arxiv_version: 1801.02523v1 · doi: 10.48550/arxiv.1801.02523 · pith_short_12: BGW4VE5MLVOI · pith_short_16: BGW4VE5MLVOIID4T · pith_short_8: BGW4VE5M

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/BGW4VE5MLVOIID4TDWAPT7Z3BJ \
  | 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: 09adca93ac5d5c840f931d80f9ff3b0a5ef32e3152e54c81ff28b06844005cef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50e0e4dbd7250e0095639e0b21f3318b0dd1ed1bb774bc12303dfdc6019c24ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2018-01-08T15:53:56Z",
    "title_canon_sha256": "3505f7eec26879ae07dad706e43bc8c4930df650fbcf37c510156b917a7645bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02523",
    "kind": "arxiv",
    "version": 1
  }
}