Pith Number

pith:6EPUYPCK

pith:2013:6EPUYPCKAYGRCDXCM43A4REWLD

not attested not anchored not stored refs pending

Conditional Random Fields, Planted Constraint Satisfaction, and Entropy Concentration

Andrea Montanari, Emmanuel Abbe

arxiv:1305.4274 v2 · 2013-05-18 · math.PR · cs.IT · math.CO · 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{6EPUYPCKAYGRCDXCM43A4REWLD}

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	2026-05-18T03:19:43.680094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f11f4c3c4a060d110ee267360e449658dc918f8d1e9f3a2dd3e6a5a66e37cf07

Aliases

arxiv: 1305.4274 · arxiv_version: 1305.4274v2 · doi: 10.48550/arxiv.1305.4274 · pith_short_12: 6EPUYPCKAYGR · pith_short_16: 6EPUYPCKAYGRCDXC · pith_short_8: 6EPUYPCK

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/6EPUYPCKAYGRCDXCM43A4REWLD \
  | 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: f11f4c3c4a060d110ee267360e449658dc918f8d1e9f3a2dd3e6a5a66e37cf07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "742bf61b9220bbaf0c3099320398ae9a263ec2fedee285029f2f54a642f14d43",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-18T15:42:37Z",
    "title_canon_sha256": "75a78b13addfbd79adb359a646a1318b95f43746e67770a91e24c8d3fbf854f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4274",
    "kind": "arxiv",
    "version": 2
  }
}