Pith Number

pith:V2MLRXYY

pith:2015:V2MLRXYY7TKEHOACS7OX6EGDYO

not attested not anchored not stored refs pending

Dynamic choosability of triangle-free graphs and sparse random graphs

Jaehoon Kim, Seongmin Ok

arxiv:1503.04492 v3 · 2015-03-16 · 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{V2MLRXYY7TKEHOACS7OX6EGDYO}

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	2026-05-18T00:25:21.663009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae98b8df18fcd443b80297dd7f10c3c397ddd8c7db9e58f3ca4a9c3a37c45f60

Aliases

arxiv: 1503.04492 · arxiv_version: 1503.04492v3 · doi: 10.48550/arxiv.1503.04492 · pith_short_12: V2MLRXYY7TKE · pith_short_16: V2MLRXYY7TKEHOAC · pith_short_8: V2MLRXYY

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/V2MLRXYY7TKEHOACS7OX6EGDYO \
  | 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: ae98b8df18fcd443b80297dd7f10c3c397ddd8c7db9e58f3ca4a9c3a37c45f60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5d58fd971205a62ccf8f1bad669d558c823dd5710a72b161444e3cbff656250",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-16T00:11:34Z",
    "title_canon_sha256": "2a76baa7953ca48820ba2e9e6d7a71cf76dc21207e75657bb280c71f5e5ab99b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04492",
    "kind": "arxiv",
    "version": 3
  }
}