Pith Number

pith:MTTGV4UC

pith:2014:MTTGV4UC5NGUEZHRJ6TQH2FYMK

not attested not anchored not stored refs pending

The extremal spectral radii of $k$-uniform supertrees

Honghai Li, Jiayu Shao, Liqun Qi

arxiv:1405.7257 v1 · 2014-05-28 · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTTGV4UC5NGUEZHRJ6TQH2FYMK}

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	2026-05-18T02:50:52.444065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64e66af282eb4d4264f14fa703e8b862af3d34a4400f27225c911072b9300f44

Aliases

arxiv: 1405.7257 · arxiv_version: 1405.7257v1 · doi: 10.48550/arxiv.1405.7257 · pith_short_12: MTTGV4UC5NGU · pith_short_16: MTTGV4UC5NGUEZHR · pith_short_8: MTTGV4UC

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/MTTGV4UC5NGUEZHRJ6TQH2FYMK \
  | 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: 64e66af282eb4d4264f14fa703e8b862af3d34a4400f27225c911072b9300f44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5275c08837e1468b215d01e5ed1311d8d2897330b1130ea5484fb96f29a7f79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-05-28T14:29:00Z",
    "title_canon_sha256": "199fedb202b4953301c57d2dc49d92d470681df66cbbd9e25d9f74d117f19bec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7257",
    "kind": "arxiv",
    "version": 1
  }
}