Pith Number

pith:CHRI2R3T

pith:2018:CHRI2R3TZ4OYAVWOIELESQWVLE

not attested not anchored not stored refs pending

Spectral expansion of random sum complexes

Orr Beit-Aharon, Roy Meshulam

arxiv:1801.06466 v1 · 2018-01-19 · 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{CHRI2R3TZ4OYAVWOIELESQWVLE}

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	2026-05-18T00:25:29.971643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11e28d4773cf1d8056ce41164942d559071b673d1efa83b5e15617d2e664a9b4

Aliases

arxiv: 1801.06466 · arxiv_version: 1801.06466v1 · doi: 10.48550/arxiv.1801.06466 · pith_short_12: CHRI2R3TZ4OY · pith_short_16: CHRI2R3TZ4OYAVWO · pith_short_8: CHRI2R3T

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/CHRI2R3TZ4OYAVWOIELESQWVLE \
  | 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: 11e28d4773cf1d8056ce41164942d559071b673d1efa83b5e15617d2e664a9b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "303228153f1bc4aa229a6de5d988d2e8e43db99ee8ad26ae12c40b737b69e547",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-19T15:39:59Z",
    "title_canon_sha256": "66ad2188ce3abf4ac27af685042a9a7020f74b90663f7671418b02786b32a657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06466",
    "kind": "arxiv",
    "version": 1
  }
}