Pith Number

pith:4CPIVDPE

pith:2015:4CPIVDPECFQLVZ3B6KIBKS2EZ6

not attested not anchored not stored refs pending

On the Correlation of Increasing Families

Elchanan Mossel, Gil Kalai, Nathan Keller

arxiv:1511.04600 v1 · 2015-11-14 · math.CO · 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{4CPIVDPECFQLVZ3B6KIBKS2EZ6}

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	2026-05-18T01:26:52.236496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e09e8a8de41160bae761f290154b44cf97e828c3f5f3d4689079d2cca40afaa6

Aliases

arxiv: 1511.04600 · arxiv_version: 1511.04600v1 · doi: 10.48550/arxiv.1511.04600 · pith_short_12: 4CPIVDPECFQL · pith_short_16: 4CPIVDPECFQLVZ3B · pith_short_8: 4CPIVDPE

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/4CPIVDPECFQLVZ3B6KIBKS2EZ6 \
  | 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: e09e8a8de41160bae761f290154b44cf97e828c3f5f3d4689079d2cca40afaa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9d83f0b82769590bba1fceb13d1f6beadd16dbf1dc37d6d1e888ddaf52bae7f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-14T18:51:23Z",
    "title_canon_sha256": "04de5dd82ae42b8671907b0216010b8da7c9c7c2245aff10b27f334e3c450d5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04600",
    "kind": "arxiv",
    "version": 1
  }
}