Pith Number

pith:HOSJYNEE

pith:2016:HOSJYNEE43W5NTRMVYOO625PVX

not attested not anchored not stored refs pending

Bicyclic graphs with extremal degree resistance distance

Jia-Bao Liu, Sakander Hayat, Shaohui Wang, Si-Qi Zhangb, Xiang-Feng Pan

arxiv:1606.01281 v1 · 2016-06-03 · 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{HOSJYNEE43W5NTRMVYOO625PVX}

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	2026-05-18T01:12:54.461783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ba49c3484e6edd6ce2cae1cef6bafaddbe4d90e802735f6d363e93db273bb6e

Aliases

arxiv: 1606.01281 · arxiv_version: 1606.01281v1 · doi: 10.48550/arxiv.1606.01281 · pith_short_12: HOSJYNEE43W5 · pith_short_16: HOSJYNEE43W5NTRM · pith_short_8: HOSJYNEE

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/HOSJYNEE43W5NTRMVYOO625PVX \
  | 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: 3ba49c3484e6edd6ce2cae1cef6bafaddbe4d90e802735f6d363e93db273bb6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d224d58e83ae7daa224a6812c4643ab4b88511bdaf3b706de10f4a6c60b94c94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-03T21:28:30Z",
    "title_canon_sha256": "1c55e65c9aef87bd0e1e3e8c79eecf28415a3e89547550e4d2f746b6aa21969f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01281",
    "kind": "arxiv",
    "version": 1
  }
}