Pith Number

pith:HGKDH622

pith:2024:HGKDH622MM3KOZF5UCEDOFIC2C

not attested not anchored not stored refs pending

Triangle-free Graphs with Large Minimum Common Degree

Fan Zhao, Jian Wang, Weihua Yang

arxiv:2408.05547 v1 · 2024-08-10 · 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{HGKDH622MM3KOZF5UCEDOFIC2C}

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	2026-07-05T08:54:21.670274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

399433fb5a6336a764bda088371502d089852a197a0315951ae1624e6d63722d

Aliases

arxiv: 2408.05547 · arxiv_version: 2408.05547v1 · doi: 10.48550/arxiv.2408.05547 · pith_short_12: HGKDH622MM3K · pith_short_16: HGKDH622MM3KOZF5 · pith_short_8: HGKDH622

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/HGKDH622MM3KOZF5UCEDOFIC2C \
  | 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: 399433fb5a6336a764bda088371502d089852a197a0315951ae1624e6d63722d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37b2b98f2eee25f899ff7e7fae248dd9d55a841fc5b0146d931ec8096d5f4ee6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-10T13:12:27Z",
    "title_canon_sha256": "9d7bd3b85d93e79cfd3f76c010b427894d65b05c27350263fc34b2bc36fd3a77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.05547",
    "kind": "arxiv",
    "version": 1
  }
}