Pith Number

pith:RMQJSBNZ

pith:2016:RMQJSBNZZIRTCNTQS64TOO3PAY

not attested not anchored not stored refs pending

An eigenvalue localization theorem for stochastic matrices and its application to Randi\'c matrices

Anirban Banerjee, Ranjit Mehatari

arxiv:1601.07736 v2 · 2016-01-28 · 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{RMQJSBNZZIRTCNTQS64TOO3PAY}

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	2026-05-18T01:16:03.441677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b209905b9ca2331367097b9373b6f062ee662e3a129303666d0da69208a7499

Aliases

arxiv: 1601.07736 · arxiv_version: 1601.07736v2 · doi: 10.48550/arxiv.1601.07736 · pith_short_12: RMQJSBNZZIRT · pith_short_16: RMQJSBNZZIRTCNTQ · pith_short_8: RMQJSBNZ

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/RMQJSBNZZIRTCNTQS64TOO3PAY \
  | 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: 8b209905b9ca2331367097b9373b6f062ee662e3a129303666d0da69208a7499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0c9567edd07c0c50472ff315b95145d215191ec7aef38a0867443a244587a68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-28T12:24:28Z",
    "title_canon_sha256": "c8a9350550bf33a3613daf64dcce6879cc0cdf7bcfa036b23d9e443ac52f9e9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07736",
    "kind": "arxiv",
    "version": 2
  }
}