Pith Number

pith:SYXYSNYH

pith:2009:SYXYSNYH4UN4ECHSEWJ2WRZ4GK

not attested not anchored not stored refs pending

Local resilience and Hamiltonicity Maker-Breaker games in random-regular graphs

Benny Sudakov, Michael Krivelevich, Sonny Ben-Shimon

arxiv:0911.4351 v4 · 2009-11-23 · math.CO · cs.DM · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SYXYSNYH4UN4ECHSEWJ2WRZ4GK}

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	2026-05-18T04:30:26.490082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

962f893707e51bc208f22593ab473c32a592446f0154d1086bf4d1023b133974

Aliases

arxiv: 0911.4351 · arxiv_version: 0911.4351v4 · doi: 10.48550/arxiv.0911.4351 · pith_short_12: SYXYSNYH4UN4 · pith_short_16: SYXYSNYH4UN4ECHS · pith_short_8: SYXYSNYH

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/SYXYSNYH4UN4ECHSEWJ2WRZ4GK \
  | 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: 962f893707e51bc208f22593ab473c32a592446f0154d1086bf4d1023b133974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d897fb67fa8c0f4125514969d96a010e88bf7aa2dc607f10460f02da803aa701",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-11-23T10:16:58Z",
    "title_canon_sha256": "ea012ce2ae6878f41dda0d55ca3b509c9b900943e6988181d27fe859f002cfb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4351",
    "kind": "arxiv",
    "version": 4
  }
}