Pith Number

pith:N4HKFWNO

pith:2026:N4HKFWNOSK53S24R3U7KT6QO34

not attested not anchored not stored refs pending

The logarithmic $h$- and $v$-topologies

Doosung Park, Nikolai Opdan, Paul Arne {\O}stv{\ae}r

arxiv:2608.06882 v1 · 2026-08-07 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4HKFWNOSK53S24R3U7KT6QO34}

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	2026-08-10T01:12:24.039434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f0ea2d9ae92bbb96b91dd3ea9fa0edf10e8b9fc3b8bc228c2b2487fc17ab9d3

Aliases

arxiv: 2608.06882 · arxiv_version: 2608.06882v1 · doi: 10.48550/arxiv.2608.06882 · pith_short_12: N4HKFWNOSK53 · pith_short_16: N4HKFWNOSK53S24R · pith_short_8: N4HKFWNO

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/N4HKFWNOSK53S24R3U7KT6QO34 \
  | 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: 6f0ea2d9ae92bbb96b91dd3ea9fa0edf10e8b9fc3b8bc228c2b2487fc17ab9d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82a7cdb8b01bff547ac3cc2bc66b6ba8fd8e04841a9624565379f5d4978ca9f0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-07T07:09:09Z",
    "title_canon_sha256": "89961e9dfec6c9f2dc5c4a729608612016f82d64060da9ba4dea2dd343c26806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06882",
    "kind": "arxiv",
    "version": 1
  }
}