Pith Number

pith:GI6PN5MQ

pith:2014:GI6PN5MQ5CIHC5CGINDKDGZNN4

not attested not anchored not stored refs pending

Lower Bounds on the Critical Density in the Hard Disk Model via Optimized Metrics

Cristopher Moore, Thomas P. Hayes

arxiv:1407.1930 v1 · 2014-07-08 · cs.CC · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GI6PN5MQ5CIHC5CGINDKDGZNN4}

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	2026-05-18T02:48:08.870708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

323cf6f590e8907174464346a19b2d6f2e92c6873cf3bd2071585a927f81cff4

Aliases

arxiv: 1407.1930 · arxiv_version: 1407.1930v1 · doi: 10.48550/arxiv.1407.1930 · pith_short_12: GI6PN5MQ5CIH · pith_short_16: GI6PN5MQ5CIHC5CG · pith_short_8: GI6PN5MQ

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/GI6PN5MQ5CIHC5CGINDKDGZNN4 \
  | 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: 323cf6f590e8907174464346a19b2d6f2e92c6873cf3bd2071585a927f81cff4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3069f6f4ca806a19308017317d0c38a3ed2eb24c2e9cc73bc4168ca754e75597",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-07-08T02:16:59Z",
    "title_canon_sha256": "a8ab237ee79c4dc95cdf69bc46c18323efe46c2584114183e9d8a588eb6301f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1930",
    "kind": "arxiv",
    "version": 1
  }
}