Pith Number

pith:FKKBS3DS

pith:2016:FKKBS3DSXYCGY6RWCC6SHBC63K

not attested not anchored not stored refs pending

Information-theoretic thresholds from the cavity method

Amin Coja-Oghlan, Florent Krzakala, Lenka Zdeborova, Will Perkins

arxiv:1611.00814 v4 · 2016-11-02 · cs.DM · math.PR · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKKBS3DSXYCGY6RWCC6SHBC63K}

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	2026-05-18T00:12:14.437467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a94196c72be046c7a3610bd23845eda9932cee9fb6278be8d7076aed0370bcf

Aliases

arxiv: 1611.00814 · arxiv_version: 1611.00814v4 · doi: 10.48550/arxiv.1611.00814 · pith_short_12: FKKBS3DSXYCG · pith_short_16: FKKBS3DSXYCGY6RW · pith_short_8: FKKBS3DS

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/FKKBS3DSXYCGY6RWCC6SHBC63K \
  | 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: 2a94196c72be046c7a3610bd23845eda9932cee9fb6278be8d7076aed0370bcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "065962721227dd553704a449900dffaa8c1ddae11ae4631cad52c423d0b5ca67",
    "cross_cats_sorted": [
      "math.PR",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-11-02T21:23:14Z",
    "title_canon_sha256": "280b8a2820590e582fd25f936e8859cc6a00f903115ae7bbac41229b200cf606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00814",
    "kind": "arxiv",
    "version": 4
  }
}