Pith Number

pith:NLQOEHG3

pith:2019:NLQOEHG3YFBFTILOJDXY4XPYEG

not attested not anchored not stored refs pending

A New Definition of the Dimension of Graphs

X.Zhao

arxiv:1908.03797 v2 · 2019-08-10 · 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{NLQOEHG3YFBFTILOJDXY4XPYEG}

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	2026-07-05T03:18:37.488551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ae0e21cdbc14259a16e48ef8e5df821b67dae7394e5a1b184e658f0bfbce69d

Aliases

arxiv: 1908.03797 · arxiv_version: 1908.03797v2 · doi: 10.48550/arxiv.1908.03797 · pith_short_12: NLQOEHG3YFBF · pith_short_16: NLQOEHG3YFBFTILO · pith_short_8: NLQOEHG3

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/NLQOEHG3YFBFTILOJDXY4XPYEG \
  | 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: 6ae0e21cdbc14259a16e48ef8e5df821b67dae7394e5a1b184e658f0bfbce69d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b1c2371af67f263b4a25819de214f06ab34dcdc8d2af7257770ca4830bbb285",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-10T19:07:38Z",
    "title_canon_sha256": "36c77a71e4b854d40be57fd00ae5f2fae954f0e42eb2c9c3ba972f622791df3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03797",
    "kind": "arxiv",
    "version": 2
  }
}