Pith Number

pith:TV74ACK6

pith:2015:TV74ACK67N3JEGT3XELJ4VML44

not attested not anchored not stored refs pending

Approximation via Correlation Decay when Strong Spatial Mixing Fails

Andreas Galanis, Daniel Stefankovic, Heng Guo, Ivona Bezakova, Leslie Ann Goldberg

arxiv:1510.09193 v5 · 2015-10-30 · cs.CC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TV74ACK67N3JEGT3XELJ4VML44}

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	2026-05-17T23:55:01.460856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d7fc0095efb76921a7bb9169e558be7139f80b048584d52cc27d539a301b9c9

Aliases

arxiv: 1510.09193 · arxiv_version: 1510.09193v5 · doi: 10.48550/arxiv.1510.09193 · pith_short_12: TV74ACK67N3J · pith_short_16: TV74ACK67N3JEGT3 · pith_short_8: TV74ACK6

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/TV74ACK67N3JEGT3XELJ4VML44 \
  | 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: 9d7fc0095efb76921a7bb9169e558be7139f80b048584d52cc27d539a301b9c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68a4ca57fc3fbf4badbe4b78ee1a245475f391d7a433eee4a44e513064b65a80",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-10-30T18:38:48Z",
    "title_canon_sha256": "df4e081c1fd0384d4568a41850c47e26ab5dae26aee3305260dab9d75c04dcd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.09193",
    "kind": "arxiv",
    "version": 5
  }
}