Pith Number

pith:4HCFX7MS

pith:2025:4HCFX7MSCHQSDDD7TV4LQDBRHX

not attested not anchored not stored refs pending

An eigenvalue interlacing approach to Garland's method

Alan Lew

arxiv:2508.17279 v1 · 2025-08-24 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HCFX7MSCHQSDDD7TV4LQDBRHX}

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

The complex property of the boundary operator on simplicial complexes

Receipt and verification

First computed	2026-07-05T11:58:39.043230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1c45bfd9211e1218c7f9d78b80c313dd626566605e657e1817ba4503923afdc

Aliases

arxiv: 2508.17279 · arxiv_version: 2508.17279v1 · doi: 10.48550/arxiv.2508.17279 · pith_short_12: 4HCFX7MSCHQS · pith_short_16: 4HCFX7MSCHQSDDD7 · pith_short_8: 4HCFX7MS

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/4HCFX7MSCHQSDDD7TV4LQDBRHX \
  | 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: e1c45bfd9211e1218c7f9d78b80c313dd626566605e657e1817ba4503923afdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e2d9bed86bb397c7d57f0b32a774b6832f183116605ce7e959e418ef8810456",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-24T10:00:57Z",
    "title_canon_sha256": "1ff072bdfaedd03fd0e2594a44bd933f1820f625c9688fa1d6ae94cbc2e2ed65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.17279",
    "kind": "arxiv",
    "version": 1
  }
}