Pith Number

pith:D47DJEDJ

pith:2015:D47DJEDJTYXFGPRX3FDYU6IYSB

not attested not anchored not stored refs pending

Unimodality of the independence polynomials of some composite graphs

Bao-Xuan Zhu, Qinglin Lu

arxiv:1507.05754 v1 · 2015-07-21 · 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{D47DJEDJTYXFGPRX3FDYU6IYSB}

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	2026-05-18T01:36:32.574760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f3e3490699e2e533e37d9478a79189067435ed1381bb49d71eb2e6539d49035

Aliases

arxiv: 1507.05754 · arxiv_version: 1507.05754v1 · doi: 10.48550/arxiv.1507.05754 · pith_short_12: D47DJEDJTYXF · pith_short_16: D47DJEDJTYXFGPRX · pith_short_8: D47DJEDJ

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/D47DJEDJTYXFGPRX3FDYU6IYSB \
  | 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: 1f3e3490699e2e533e37d9478a79189067435ed1381bb49d71eb2e6539d49035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "595d13a5d0f62e7eafb1aefb7fef4169dc4c239dc69e1a914565ceffc06005c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-21T09:11:15Z",
    "title_canon_sha256": "6f8db99a6019e2201682333eef74bae3fe16301e3728490509ec22e46b2707f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05754",
    "kind": "arxiv",
    "version": 1
  }
}