Pith Number

pith:5CTYQ4IP

pith:2016:5CTYQ4IPF4KNOTERD2GW5NESFB

not attested not anchored not stored refs pending

Interlacing families and the Hermitian spectral norm of digraphs

Bojan Mohar, Gary Greaves, O Suil

arxiv:1602.06274 v1 · 2016-02-19 · 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{5CTYQ4IPF4KNOTERD2GW5NESFB}

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	2026-05-17T23:55:10.074181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8a788710f2f14d74c911e8d6eb49228536f6e60fe30242af0fbc5084daeeedc

Aliases

arxiv: 1602.06274 · arxiv_version: 1602.06274v1 · doi: 10.48550/arxiv.1602.06274 · pith_short_12: 5CTYQ4IPF4KN · pith_short_16: 5CTYQ4IPF4KNOTER · pith_short_8: 5CTYQ4IP

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/5CTYQ4IPF4KNOTERD2GW5NESFB \
  | 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: e8a788710f2f14d74c911e8d6eb49228536f6e60fe30242af0fbc5084daeeedc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1a5d9e3fd919a40fac9196912e0472d581478a71802b493b4c31048d11fb1dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-19T20:18:34Z",
    "title_canon_sha256": "42373683905562f12afdf10b297710f5a311c518f61a81d3e250e10b04f01e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06274",
    "kind": "arxiv",
    "version": 1
  }
}