Pith Number

pith:ZCQDCS3H

pith:2015:ZCQDCS3H4ETPDVHUUOKVZKXAXD

not attested not anchored not stored refs pending

Contagious Sets in Dense Graphs

Daniel Freund, Daniel Reichman, Matthias Poloczek

arxiv:1503.00158 v3 · 2015-02-28 · cs.DM · 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{ZCQDCS3H4ETPDVHUUOKVZKXAXD}

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	2026-05-18T01:26:43.317004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8a0314b67e126f1d4f4a3955caae0b8f04c9a45d68c0341fc31c6648fd8981a

Aliases

arxiv: 1503.00158 · arxiv_version: 1503.00158v3 · doi: 10.48550/arxiv.1503.00158 · pith_short_12: ZCQDCS3H4ETP · pith_short_16: ZCQDCS3H4ETPDVHU · pith_short_8: ZCQDCS3H

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/ZCQDCS3H4ETPDVHUUOKVZKXAXD \
  | 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: c8a0314b67e126f1d4f4a3955caae0b8f04c9a45d68c0341fc31c6648fd8981a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0c5dc59c6490eb1f46a1e5f6eceefc62c3135925e8a5e6dcb91028da3eaa5c3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-02-28T17:08:02Z",
    "title_canon_sha256": "11aeb8a0633b8622f32d2b31b84f30d69a266b6688068b0a748a0da4603ae7fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00158",
    "kind": "arxiv",
    "version": 3
  }
}