Pith Number

pith:5S22I7LQ

pith:2013:5S22I7LQ7KOLYWAUBMWKPDWAOI

not attested not anchored not stored refs pending

On spectral radius of strongly connected digraphs

Bo Zhou, Jianping Li

arxiv:1305.0201 v1 · 2013-05-01 · 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{5S22I7LQ7KOLYWAUBMWKPDWAOI}

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.

Cited by

1 paper in Pith

Majorana equation and its consequences in physics and philosophy

Receipt and verification

First computed	2026-05-18T03:26:41.687768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecb5a47d70fa9cbc58140b2ca78ec0723ef8f4abee2fd596137405fd5eb08f75

Aliases

arxiv: 1305.0201 · arxiv_version: 1305.0201v1 · doi: 10.48550/arxiv.1305.0201 · pith_short_12: 5S22I7LQ7KOL · pith_short_16: 5S22I7LQ7KOLYWAU · pith_short_8: 5S22I7LQ

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/5S22I7LQ7KOLYWAUBMWKPDWAOI \
  | 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: ecb5a47d70fa9cbc58140b2ca78ec0723ef8f4abee2fd596137405fd5eb08f75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc1b85136598a82a2d4d413fa2967f117ffa4f9ed65c576df9a343c12566cf9c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-01T15:22:25Z",
    "title_canon_sha256": "cdf5ba7588dfd302fe490881f8a4b1407e9e206c35911da1bb05397336b63754"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0201",
    "kind": "arxiv",
    "version": 1
  }
}