Pith Number

pith:CZISSRZA

pith:2014:CZISSRZA3B76CVO3JO47TPTAWC

not attested not anchored not stored refs pending

On the smallest eigenvalues of the line graphs of some trees

Akihiro Munemasa, Tetsuji Taniguchi, Yoshio Sano

arxiv:1405.3475 v2 · 2014-05-14 · 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{CZISSRZA3B76CVO3JO47TPTAWC}

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	2026-05-18T01:49:56.056630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1651294720d87fe155db4bb9f9be60b0ba200912ac0333444095db72d91211fe

Aliases

arxiv: 1405.3475 · arxiv_version: 1405.3475v2 · doi: 10.48550/arxiv.1405.3475 · pith_short_12: CZISSRZA3B76 · pith_short_16: CZISSRZA3B76CVO3 · pith_short_8: CZISSRZA

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/CZISSRZA3B76CVO3JO47TPTAWC \
  | 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: 1651294720d87fe155db4bb9f9be60b0ba200912ac0333444095db72d91211fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9825194ffd99ea3c2be1d0e32db5def9a8d112dc2c52a87f73c06035eaf7a1ba",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-14T12:51:25Z",
    "title_canon_sha256": "eec1e7f03e0547d6fd1e19b57ef80a26496c0c8f288c818f2543e7c755dfeb54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3475",
    "kind": "arxiv",
    "version": 2
  }
}