Pith Number

pith:2RKBSRY5

pith:2026:2RKBSRY543RJEZUQ4M2VB3JGTE

not attested not anchored not stored refs pending

A classifying localic category for locally compact locales

Christopher Townsend

arxiv:2606.02025 v1 · 2026-06-01 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2RKBSRY543RJEZUQ4M2VB3JGTE}

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	2026-06-02T02:05:03.830563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d45419471de6e2926690e33550ed2699380a5c8dd06653b966f8e6e168fce279

Aliases

arxiv: 2606.02025 · arxiv_version: 2606.02025v1 · doi: 10.48550/arxiv.2606.02025 · pith_short_12: 2RKBSRY543RJ · pith_short_16: 2RKBSRY543RJEZUQ · pith_short_8: 2RKBSRY5

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/2RKBSRY543RJEZUQ4M2VB3JGTE \
  | 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: d45419471de6e2926690e33550ed2699380a5c8dd06653b966f8e6e168fce279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ab8d068a4b80e212c280cef5b36197cae5bc9ae399016a121753c5620cedb07",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-06-01T10:15:15Z",
    "title_canon_sha256": "0003c054334f8f7f75d9e5969a8b4b61f86c3224d99daefc98b1709bf4395901"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02025",
    "kind": "arxiv",
    "version": 1
  }
}