Pith Number

pith:CCFKV7HA

pith:2016:CCFKV7HAKW3HTGW53LGUVG6CKK

not attested not anchored not stored refs pending

Isotropic self-consistent equations for mean-field random matrices

Antti Knowles, Ron Rosenthal, Yukun He

arxiv:1611.05364 v2 · 2016-11-16 · math.PR · math-ph · math.MP

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

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	2026-05-18T00:46:31.606923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

108aaafce055b6799adddacd4a9bc25297f4a189daf090b875e320cf9dd3f5af

Aliases

arxiv: 1611.05364 · arxiv_version: 1611.05364v2 · doi: 10.48550/arxiv.1611.05364 · pith_short_12: CCFKV7HAKW3H · pith_short_16: CCFKV7HAKW3HTGW5 · pith_short_8: CCFKV7HA

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/CCFKV7HAKW3HTGW53LGUVG6CKK \
  | 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: 108aaafce055b6799adddacd4a9bc25297f4a189daf090b875e320cf9dd3f5af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2942db74bee9b17c0904b499ec6f261b8d7019d34de655910f310b46cc1ab20e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-16T17:01:16Z",
    "title_canon_sha256": "5d71d295390e02d4100fd69e79748cb5fc4132382b2c8c74663ef32eb1afff47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05364",
    "kind": "arxiv",
    "version": 2
  }
}