Pith Number

pith:MZGYKCEE

pith:2013:MZGYKCEEDRJJFAOODMCAHDUONB

not attested not anchored not stored refs pending

Median eigenvalues of bipartite graphs

Behruz Tayfeh-Rezaie, Bojan Mohar

arxiv:1312.2613 v1 · 2013-12-09 · 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{MZGYKCEEDRJJFAOODMCAHDUONB}

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	2026-05-18T03:05:09.432991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

664d8508841c529281ce1b04038e8e684ec5b34455dec1c2da61fe7f03f7fa30

Aliases

arxiv: 1312.2613 · arxiv_version: 1312.2613v1 · doi: 10.48550/arxiv.1312.2613 · pith_short_12: MZGYKCEEDRJJ · pith_short_16: MZGYKCEEDRJJFAOO · pith_short_8: MZGYKCEE

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/MZGYKCEEDRJJFAOODMCAHDUONB \
  | 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: 664d8508841c529281ce1b04038e8e684ec5b34455dec1c2da61fe7f03f7fa30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8927b0bce70e6d5321a2e79614492f2ca8eb0c6982305c0e5570606a6fa83234",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-09T21:59:43Z",
    "title_canon_sha256": "96327f3db32e8ee499eac112874db736bac98027c7cfba89788edc00b40c061e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2613",
    "kind": "arxiv",
    "version": 1
  }
}