Pith Number

pith:K4WVYXBJ

pith:2025:K4WVYXBJE6STRXRN3MGF2W3Q6J

not attested not anchored not stored refs pending

Simplicial volume of open books in dimension 4

Thorben Kastenholz

arxiv:2504.10975 v1 · 2025-04-15 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4WVYXBJE6STRXRN3MGF2W3Q6J}

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.

Cited by

1 paper in Pith

Handle decompositions and stabilizations of open books

Receipt and verification

First computed	2026-07-05T10:49:27.144255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

572d5c5c2927a538de2ddb0c5d5b70f266623c7421b1eda74ec1af04a6341c94

Aliases

arxiv: 2504.10975 · arxiv_version: 2504.10975v1 · doi: 10.48550/arxiv.2504.10975 · pith_short_12: K4WVYXBJE6ST · pith_short_16: K4WVYXBJE6STRXRN · pith_short_8: K4WVYXBJ

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/K4WVYXBJE6STRXRN3MGF2W3Q6J \
  | 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: 572d5c5c2927a538de2ddb0c5d5b70f266623c7421b1eda74ec1af04a6341c94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e368b044c8952bab6f47d77be378d83a401eba45484fe5021bd7466415ce5569",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-04-15T08:36:54Z",
    "title_canon_sha256": "274e96c0237efd590be6309f0c335b0a3c2f31bf488b9b71fc81123daeb08a0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.10975",
    "kind": "arxiv",
    "version": 1
  }
}