Pith Number

pith:ZIV57AGB

pith:2016:ZIV57AGBD7FBEQNE44HZ2E5KBN

not attested not anchored not stored refs pending

Contagious Sets in Random Graphs

Daniel Reichman, Michael Krivelevich, Uriel Feige

arxiv:1602.01751 v1 · 2016-02-04 · math.PR · 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{ZIV57AGBD7FBEQNE44HZ2E5KBN}

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	2026-05-18T01:21:18.195934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca2bdf80c11fca1241a4e70f9d13aa0b5d63e53dae40cc2406b4f147c8467dec

Aliases

arxiv: 1602.01751 · arxiv_version: 1602.01751v1 · doi: 10.48550/arxiv.1602.01751 · pith_short_12: ZIV57AGBD7FB · pith_short_16: ZIV57AGBD7FBEQNE · pith_short_8: ZIV57AGB

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/ZIV57AGBD7FBEQNE44HZ2E5KBN \
  | 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: ca2bdf80c11fca1241a4e70f9d13aa0b5d63e53dae40cc2406b4f147c8467dec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86ec8edf9d0e81bfd467f58492b5dd3b213e097306a51b6eb680a94dd74aa180",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-04T17:10:06Z",
    "title_canon_sha256": "5ea0e0b3dd2261886c7276599205324f12ca5b4ad24c40bc646df6124910c524"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01751",
    "kind": "arxiv",
    "version": 1
  }
}