Pith Number

pith:2YOUJH2F

pith:2013:2YOUJH2FSYLSOF5ELOMSUVHPWY

not attested not anchored not stored refs pending

Remarks on Li-Yau inequality on graphs

Bin Qian

arxiv:1311.3367 v1 · 2013-11-14 · math.DG · 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{2YOUJH2FSYLSOF5ELOMSUVHPWY}

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	2026-05-18T03:07:11.672515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d61d449f4596172717a45b992a54efb63c4a21ba8e0cc2bdd1e7bb719bbcfed3

Aliases

arxiv: 1311.3367 · arxiv_version: 1311.3367v1 · doi: 10.48550/arxiv.1311.3367 · pith_short_12: 2YOUJH2FSYLS · pith_short_16: 2YOUJH2FSYLSOF5E · pith_short_8: 2YOUJH2F

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/2YOUJH2FSYLSOF5ELOMSUVHPWY \
  | 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: d61d449f4596172717a45b992a54efb63c4a21ba8e0cc2bdd1e7bb719bbcfed3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17d7e978049b181a13b986fc8e49459f4dc5de37eefc65eac5059036dfda1b22",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-14T02:33:00Z",
    "title_canon_sha256": "d141e7d6bf60c8cbbaca0f50f854750bc71fbe017a9461168c734d0d461f7f5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3367",
    "kind": "arxiv",
    "version": 1
  }
}