Pith Number

pith:ZSR6NHGP

pith:2026:ZSR6NHGPKHUQUGYNWWKUFJWHYC

not attested not anchored not stored refs pending

Visibility in the Boolean Model on Harmonic Manifolds

Christoph Th\"ale, Enkelejd Hashorva

arxiv:2605.23817 v1 · 2026-05-22 · math.PR · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSR6NHGPKHUQUGYNWWKUFJWHYC}

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	2026-05-25T02:02:33.786917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cca3e69ccf51e90a1b0db59542a6c7c0b4d31616e14b25f0c0ecc2f7c2ceecf6

Aliases

arxiv: 2605.23817 · arxiv_version: 2605.23817v1 · doi: 10.48550/arxiv.2605.23817 · pith_short_12: ZSR6NHGPKHUQ · pith_short_16: ZSR6NHGPKHUQUGYN · pith_short_8: ZSR6NHGP

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/ZSR6NHGPKHUQUGYNWWKUFJWHYC \
  | 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: cca3e69ccf51e90a1b0db59542a6c7c0b4d31616e14b25f0c0ecc2f7c2ceecf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b95fad9913b5355e92b877e1eaeaaea42df2ee520ea60c7b3fcd63b9e590cc1",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-22T16:18:08Z",
    "title_canon_sha256": "800a4d2ef9d0106865f57ce597f79025a3fb4197cb30f13f1a7d4396f55189aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23817",
    "kind": "arxiv",
    "version": 1
  }
}