Pith Number

pith:B3EGCW4I

pith:2014:B3EGCW4IXOSOWNBVRGRKT72PTF

not attested not anchored not stored refs pending

Spatial mixing and the connective constant: Optimal bounds

Alistair Sinclair, Daniel \v{S}tefankovi\v{c}, Piyush Srivastava, Yitong Yin

arxiv:1410.2595 v1 · 2014-10-08 · cs.DS · 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{B3EGCW4IXOSOWNBVRGRKT72PTF}

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	2026-05-18T02:40:46.069064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ec8615b88bba4eb343589a2a9ff4f994f25c7d5b7277b082f24760788322a4a

Aliases

arxiv: 1410.2595 · arxiv_version: 1410.2595v1 · doi: 10.48550/arxiv.1410.2595 · pith_short_12: B3EGCW4IXOSO · pith_short_16: B3EGCW4IXOSOWNBV · pith_short_8: B3EGCW4I

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/B3EGCW4IXOSOWNBVRGRKT72PTF \
  | 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: 0ec8615b88bba4eb343589a2a9ff4f994f25c7d5b7277b082f24760788322a4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdbb19cddeb80b3ccbc3a5c676b00dd348dfa7a46a8b24dca00d9f5ae2c05a7b",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2014-10-08T04:14:36Z",
    "title_canon_sha256": "8028db93d33794c6fe3b8095129737582aac6ea685a79edb7cc45883ba1e82ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2595",
    "kind": "arxiv",
    "version": 1
  }
}