Pith Number

pith:IKMY4MTA

pith:2011:IKMY4MTAFT3AAFQMYPTGGVLVUU

not attested not anchored not stored refs pending

Threshold Saturation in Spatially Coupled Constraint Satisfaction Problems

Nicolas Macris, Rudiger Urbanke, S. Hamed Hassani

arxiv:1112.6320 v2 · 2011-12-23 · cs.CC · cond-mat.stat-mech · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IKMY4MTAFT3AAFQMYPTGGVLVUU}

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	2026-05-18T01:58:59.783149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42998e32602cf600160cc3e6635575a535b17d2055c189309ff293f01d499ccd

Aliases

arxiv: 1112.6320 · arxiv_version: 1112.6320v2 · doi: 10.48550/arxiv.1112.6320 · pith_short_12: IKMY4MTAFT3A · pith_short_16: IKMY4MTAFT3AAFQM · pith_short_8: IKMY4MTA

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/IKMY4MTAFT3AAFQMYPTGGVLVUU \
  | 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: 42998e32602cf600160cc3e6635575a535b17d2055c189309ff293f01d499ccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c0da8c92ebf45af59ca0cda63138842a93c31fc306fccc0e4bafc2870c3eae8",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2011-12-23T10:42:51Z",
    "title_canon_sha256": "f7b49b62796889aed65fae6905d2bc533171d863dcfaebcc8d5c7e4e46bbaba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6320",
    "kind": "arxiv",
    "version": 2
  }
}