Pith Number

pith:ZGEVL3VW

pith:2016:ZGEVL3VWTDXLRWBFRZYK6H7KA7

not attested not anchored not stored refs pending

From Graph Isoperimetric Inequality to Network Connectivity -- A New Approach

Dajin Wang, Fang Ma, Guodong Guo (Senior Member, IEEE), Qiang Zhu (Member, Weisheng Chen (Member

arxiv:1607.07761 v1 · 2016-07-13 · cs.DC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGEVL3VWTDXLRWBFRZYK6H7KA7}

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	2026-05-18T01:10:25.327742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c98955eeb698eeb8d8258e70af1fea07e5c413e7bfd8ac0da5344484bbab0015

Aliases

arxiv: 1607.07761 · arxiv_version: 1607.07761v1 · doi: 10.48550/arxiv.1607.07761 · pith_short_12: ZGEVL3VWTDXL · pith_short_16: ZGEVL3VWTDXLRWBF · pith_short_8: ZGEVL3VW

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/ZGEVL3VWTDXLRWBFRZYK6H7KA7 \
  | 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: c98955eeb698eeb8d8258e70af1fea07e5c413e7bfd8ac0da5344484bbab0015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4e660f256fdbd8fcd7ff125b0d8268ff5215ea379030af20d3fd9445da8a326",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2016-07-13T06:01:52Z",
    "title_canon_sha256": "22ae7e6d5da7fda1a09180d00be577f25ecf4e1eae7f8b622dadb0104c26a2e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07761",
    "kind": "arxiv",
    "version": 1
  }
}