Pith Number

pith:OSVS42FL

pith:2025:OSVS42FLVOZLME5CY5QPXKAPTR

not attested not anchored not stored refs pending

Spheres and balls as independence complexes

Adam Van Tuyl, Lisa Nicklasson, Sara Faridi, Susan M. Cooper, Thiago Holleben

arxiv:2503.18490 v1 · 2025-03-24 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OSVS42FLVOZLME5CY5QPXKAPTR}

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	2026-07-05T10:38:11.769917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74ab2e68ababb2b613a2c760fba80f9c70e5e27d62ab6efda8ab0f52203a1529

Aliases

arxiv: 2503.18490 · arxiv_version: 2503.18490v1 · doi: 10.48550/arxiv.2503.18490 · pith_short_12: OSVS42FLVOZL · pith_short_16: OSVS42FLVOZLME5C · pith_short_8: OSVS42FL

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/OSVS42FLVOZLME5CY5QPXKAPTR \
  | 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: 74ab2e68ababb2b613a2c760fba80f9c70e5e27d62ab6efda8ab0f52203a1529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eedbdbe0b60791863df7e98b0580eb0b5b96ba147268043231ca8f6b750fbb09",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-24T09:43:23Z",
    "title_canon_sha256": "a7bcc75356372e2d7b985fbb4d206dafb2ca036b6b1a98ecbf1168cec1e7b709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.18490",
    "kind": "arxiv",
    "version": 1
  }
}