Pith Number

pith:FFL7EGES

pith:2016:FFL7EGESPPA72WBIWRS6XVUTI4

not attested not anchored not stored refs pending

Eigenvalues of subgraphs of the cube

B\'ela Bollob\'as, Jonathan Lee, Shoham Letzter

arxiv:1605.06360 v1 · 2016-05-20 · 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{FFL7EGESPPA72WBIWRS6XVUTI4}

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	2026-05-18T01:14:19.124997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2957f218927bc1fd5828b465ebd6934705f0b18b43f743417818d115ecf9d2d8

Aliases

arxiv: 1605.06360 · arxiv_version: 1605.06360v1 · doi: 10.48550/arxiv.1605.06360 · pith_short_12: FFL7EGESPPA7 · pith_short_16: FFL7EGESPPA72WBI · pith_short_8: FFL7EGES

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/FFL7EGESPPA72WBIWRS6XVUTI4 \
  | 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: 2957f218927bc1fd5828b465ebd6934705f0b18b43f743417818d115ecf9d2d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "438f7f396d8ea92bc1d416b2fbcd7c1137e2d52a0083cd500e50ad9d7aa0744a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-20T13:59:33Z",
    "title_canon_sha256": "bccf177dcd3e92094cff8de2e744a4da8a00ab9a0183f4c438c66272a74ba207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06360",
    "kind": "arxiv",
    "version": 1
  }
}