Pith Number

pith:OOWCJ3W7

pith:2015:OOWCJ3W7J4MYORT6UKCE6ME76T

not attested not anchored not stored refs pending

Dirac's Condition for Spanning Halin Subgraphs

Guantao Chen, Songling Shan

arxiv:1505.06181 v2 · 2015-05-22 · 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{OOWCJ3W7J4MYORT6UKCE6ME76T}

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	2026-05-18T00:40:17.607404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73ac24eedf4f1987467ea2844f309ff4edbe4bd93d517fe659aca23a0c86bdca

Aliases

arxiv: 1505.06181 · arxiv_version: 1505.06181v2 · doi: 10.48550/arxiv.1505.06181 · pith_short_12: OOWCJ3W7J4MY · pith_short_16: OOWCJ3W7J4MYORT6 · pith_short_8: OOWCJ3W7

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/OOWCJ3W7J4MYORT6UKCE6ME76T \
  | 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: 73ac24eedf4f1987467ea2844f309ff4edbe4bd93d517fe659aca23a0c86bdca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dd3e7c82214e8868b97292dbd2fc4d800bb14adf6194f6aaba450840882bcb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-22T19:08:36Z",
    "title_canon_sha256": "735d9a7d947d9801054fb6030ed133ddd5da749585de58b863c38a0a5c1d2a56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06181",
    "kind": "arxiv",
    "version": 2
  }
}