Pith Number

pith:AGAYRBFA

pith:2017:AGAYRBFAGOBXNVDRXW262EGREU

not attested not anchored not stored refs pending

An Alon-Boppana Type Bound for Weighted Graphs and Lowerbounds for Spectral Sparsification

Luca Trevisan, Nikhil Srivastava

arxiv:1707.06364 v1 · 2017-07-20 · cs.DM · cs.DS · math.CO

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

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	2026-05-18T00:39:54.010381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01818884a0338376d471bdb5ed10d12528dd325c51f3ab96a07578a8111836c2

Aliases

arxiv: 1707.06364 · arxiv_version: 1707.06364v1 · doi: 10.48550/arxiv.1707.06364 · pith_short_12: AGAYRBFAGOBX · pith_short_16: AGAYRBFAGOBXNVDR · pith_short_8: AGAYRBFA

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/AGAYRBFAGOBXNVDRXW262EGREU \
  | 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: 01818884a0338376d471bdb5ed10d12528dd325c51f3ab96a07578a8111836c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "344fadc7f203212a9ffb3337cc0f48623c1a8199a2137b63dae2ba9ad9cfa5f1",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-07-20T03:46:36Z",
    "title_canon_sha256": "ee8d37a38b78a979be9141f6cf5a3d455ac6b670006fd11078e586a6f482ab56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06364",
    "kind": "arxiv",
    "version": 1
  }
}