Pith Number

pith:X3GU4LVO

pith:2016:X3GU4LVO5Y4LR6ROQ4UN27QOUN

not attested not anchored not stored refs pending

Extremal Triangular Chain Graphs for Bond Incident Degree (BID) Indices

Akbar Ali, Akhlaq Ahmad Bhatti

arxiv:1607.01876 v1 · 2016-07-07 · 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{X3GU4LVO5Y4LR6ROQ4UN27QOUN}

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	2026-07-05T01:33:15.001913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

becd4e2eaeee38b8fa2e8728dd7e0ea379b4b95c95244070a29330c01dba619e

Aliases

arxiv: 1607.01876 · arxiv_version: 1607.01876v1 · doi: 10.48550/arxiv.1607.01876 · pith_short_12: X3GU4LVO5Y4L · pith_short_16: X3GU4LVO5Y4LR6RO · pith_short_8: X3GU4LVO

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/X3GU4LVO5Y4LR6ROQ4UN27QOUN \
  | 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: becd4e2eaeee38b8fa2e8728dd7e0ea379b4b95c95244070a29330c01dba619e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f62b60f4befe92d7bc9cc85fad1302f7c677dbf68a886369c4f5fc55b17a80d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-07T05:25:11Z",
    "title_canon_sha256": "865ed02a690c6f4a5cf8077382a721d995b2a7e9e365575066742f4e6d17ccf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01876",
    "kind": "arxiv",
    "version": 1
  }
}