Pith Number

pith:FUCAVHQC

pith:2026:FUCAVHQC6HSCKLVMFFAHKIIY3K

not attested not anchored not stored refs pending

The Zariski Topology on Homeomorphism groups

Luna Elliott

arxiv:2601.15185 v3 · 2026-01-21 · math.GR · 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{FUCAVHQC6HSCKLVMFFAHKIIY3K}

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	2026-06-09T01:05:12.975537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d040a9e02f1e4252eac2940752118da90f22f954a47526ad68e9df50be3dd01

Aliases

arxiv: 2601.15185 · arxiv_version: 2601.15185v3 · doi: 10.48550/arxiv.2601.15185 · pith_short_12: FUCAVHQC6HSC · pith_short_16: FUCAVHQC6HSCKLVM · pith_short_8: FUCAVHQC

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/FUCAVHQC6HSCKLVMFFAHKIIY3K \
  | 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: 2d040a9e02f1e4252eac2940752118da90f22f954a47526ad68e9df50be3dd01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08750418ab85f7e56b1af093cc5ff2ea15be8204d13d63ea2ac94f9be707d30c",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-01-21T17:05:22Z",
    "title_canon_sha256": "f2372708943473617327c58fc8ea126395c223bc5ef6709b19139a4c62f1c774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.15185",
    "kind": "arxiv",
    "version": 3
  }
}