Pith Number

pith:JTZUHKRS

pith:2022:JTZUHKRSPXPT5DHJPBIVUOGTAS

not attested not anchored not stored refs pending

Eigenvalues and spectral gap in sparse random simplicial complexes

Ron Rosenthal, Shaked Leibzirer

arxiv:2202.00349 v1 · 2022-02-01 · math.PR · 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{JTZUHKRSPXPT5DHJPBIVUOGTAS}

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	2026-07-05T03:53:21.152652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cf343aa327ddf3e8ce978515a38d3048401ad1cbd0b3369545c8cc6779eb1ae

Aliases

arxiv: 2202.00349 · arxiv_version: 2202.00349v1 · doi: 10.48550/arxiv.2202.00349 · pith_short_12: JTZUHKRSPXPT · pith_short_16: JTZUHKRSPXPT5DHJ · pith_short_8: JTZUHKRS

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/JTZUHKRSPXPT5DHJPBIVUOGTAS \
  | 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: 4cf343aa327ddf3e8ce978515a38d3048401ad1cbd0b3369545c8cc6779eb1ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cd7daeda888754735b21eb2cd487016ec5bca9d60ace94317f262e00efb4da7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-02-01T11:45:24Z",
    "title_canon_sha256": "0814f1203914fe1101e29d5d1360daaa58f3f3ca62d94ff3ed9abed88c7c840d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.00349",
    "kind": "arxiv",
    "version": 1
  }
}