Pith Number

pith:ASX4APJN

pith:2013:ASX4APJNYCZTZYMNYPIBLKDSXK

not attested not anchored not stored refs pending

Minimum vertex degree threshold for $C_4^3$-tiling

Jie Han, Yi Zhao

arxiv:1309.2200 v4 · 2013-09-09 · 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{ASX4APJNYCZTZYMNYPIBLKDSXK}

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	2026-05-18T02:45:21.624338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04afc03d2dc0b33ce18dc3d015a872baaa78edb930821bb9f85dc23ece74675e

Aliases

arxiv: 1309.2200 · arxiv_version: 1309.2200v4 · doi: 10.48550/arxiv.1309.2200 · pith_short_12: ASX4APJNYCZT · pith_short_16: ASX4APJNYCZTZYMN · pith_short_8: ASX4APJN

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/ASX4APJNYCZTZYMNYPIBLKDSXK \
  | 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: 04afc03d2dc0b33ce18dc3d015a872baaa78edb930821bb9f85dc23ece74675e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3db06f6feb202a9bbb38175bd2908fe5bb22393acd54f3a5ded8751c259ee591",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-09T15:48:17Z",
    "title_canon_sha256": "49e17171ff420f8a4eef7b842b7344a89431d4ca9d928327adeeb98d44604307"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2200",
    "kind": "arxiv",
    "version": 4
  }
}