Pith Number

pith:S77WHKPZ

pith:2019:S77WHKPZF72WXDUVDMDFDQZEDI

not attested not anchored not stored refs pending

A graph inequality on the common neighbourhood

Fenglin Huang, Junchi Zuo, Mingxuan Zou, Shuhan Zhou, Xiaomin Chen

arxiv:1912.00417 v1 · 2019-12-01 · 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{S77WHKPZF72WXDUVDMDFDQZEDI}

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	2026-07-05T00:23:13.623013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97ff63a9f92ff56b8e951b0651c3241a1a4c5a55d7d8cb6eef67c287043ad387

Aliases

arxiv: 1912.00417 · arxiv_version: 1912.00417v1 · doi: 10.48550/arxiv.1912.00417 · pith_short_12: S77WHKPZF72W · pith_short_16: S77WHKPZF72WXDUV · pith_short_8: S77WHKPZ

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/S77WHKPZF72WXDUVDMDFDQZEDI \
  | 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: 97ff63a9f92ff56b8e951b0651c3241a1a4c5a55d7d8cb6eef67c287043ad387

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37c1fded9e0af5332155954300db49cf90aafac76cd0192844c50eb1910fbe60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-12-01T14:35:09Z",
    "title_canon_sha256": "6536595464e8111a5764f4fca3d077802112bb710b04b74718b9e5accf2513bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.00417",
    "kind": "arxiv",
    "version": 1
  }
}