Pith Number

pith:N7JEUET3

pith:2013:N7JEUET3J5LMB2PUQ7COQAYPLJ

not attested not anchored not stored refs pending

Parovicenko spaces with structures

Andrzej Kucharski, S{\l}awomir Turek, Wies{\l}aw Kubi\'s

arxiv:1306.0848 v2 · 2013-06-04 · 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{N7JEUET3J5LMB2PUQ7COQAYPLJ}

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	2026-05-18T01:29:59.815600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fd24a127b4f56c0e9f487c4e8030f5a45f3726c551987ec860b2789c550767f

Aliases

arxiv: 1306.0848 · arxiv_version: 1306.0848v2 · doi: 10.48550/arxiv.1306.0848 · pith_short_12: N7JEUET3J5LM · pith_short_16: N7JEUET3J5LMB2PU · pith_short_8: N7JEUET3

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/N7JEUET3J5LMB2PUQ7COQAYPLJ \
  | 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: 6fd24a127b4f56c0e9f487c4e8030f5a45f3726c551987ec860b2789c550767f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c6e4700ebe507a99c588d0c0245e64c9984c437f79e2afc4b45007c2c1b45b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-06-04T16:55:13Z",
    "title_canon_sha256": "1b12f4cb73289a0feb69a54c4f6bd8fda89c6b01c213ed5dd966b1a66a0ffcb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0848",
    "kind": "arxiv",
    "version": 2
  }
}