Pith Number

pith:NWWI62K7

pith:2026:NWWI62K767Z4T7YXAM6XDDHHBZ

not attested not anchored not stored refs pending

Closure Atlases and Local-to-Global Obstructions in Finite Closure Systems

Jaehwan Kim

arxiv:2606.24909 v1 · 2026-06-19 · cs.LO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NWWI62K767Z4T7YXAM6XDDHHBZ}

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	2026-06-25T00:17:45.757155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dac8f695ff7f3c9ff17033d718ce70e4ca953dab713a6a7033daf925fe3ce6f

Aliases

arxiv: 2606.24909 · arxiv_version: 2606.24909v1 · doi: 10.48550/arxiv.2606.24909 · pith_short_12: NWWI62K767Z4 · pith_short_16: NWWI62K767Z4T7YX · pith_short_8: NWWI62K7

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/NWWI62K767Z4T7YXAM6XDDHHBZ \
  | 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: 6dac8f695ff7f3c9ff17033d718ce70e4ca953dab713a6a7033daf925fe3ce6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18309f34c4c7891e3a0e59a6e51f6a8e02bb9bf780b93d5266cb9cfbfca8fa27",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-06-19T01:27:18Z",
    "title_canon_sha256": "7d8c390d40b409d45fc13127a05c567e511987e5d831c051db83c09628497f9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24909",
    "kind": "arxiv",
    "version": 1
  }
}