Pith Number

pith:OFNIRW52

pith:2019:OFNIRW52JUNJTJLRYAVM3GJ36S

not attested not anchored not stored refs pending

On the distance $\alpha$-spectral radius of a connected graph

B. Zhou, H.Y. Guo

arxiv:1901.10180 v1 · 2019-01-29 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OFNIRW52JUNJTJLRYAVM3GJ36S}

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	2026-05-17T23:55:15.918536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

715a88dbba4d1a99a571c02acd993bf4a400aca26027cfc4ebfc0812557685d9

Aliases

arxiv: 1901.10180 · arxiv_version: 1901.10180v1 · doi: 10.48550/arxiv.1901.10180 · pith_short_12: OFNIRW52JUNJ · pith_short_16: OFNIRW52JUNJTJLR · pith_short_8: OFNIRW52

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/OFNIRW52JUNJTJLRYAVM3GJ36S \
  | 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: 715a88dbba4d1a99a571c02acd993bf4a400aca26027cfc4ebfc0812557685d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e118b9e353bb7e5c1a4ea516cdb283afd50015233fe7d7e2353aa7e210886b8",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-29T08:54:21Z",
    "title_canon_sha256": "793a84da09131b8fe9927a7ceddf98e3a81f3b4723e8cc6bb822cb46ef9b2160"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10180",
    "kind": "arxiv",
    "version": 1
  }
}