Pith Number

pith:22VBVQ3O

pith:2013:22VBVQ3OE4BMYKM7646BH36PE4

not attested not anchored not stored refs pending

Gibbs-Markov-Young structures with (stretched) exponential tail for partially hyperbolic attractors

Jose F. Alves, Xin Li

arxiv:1301.7287 v2 · 2013-01-30 · math.DS

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	2026-05-18T01:24:11.480348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6aa1ac36e2702cc299ff73c13efcf271f606974eac7fe5a48b6ce7886dd1d6b

Aliases

arxiv: 1301.7287 · arxiv_version: 1301.7287v2 · doi: 10.48550/arxiv.1301.7287 · pith_short_12: 22VBVQ3OE4BM · pith_short_16: 22VBVQ3OE4BMYKM7 · pith_short_8: 22VBVQ3O

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/22VBVQ3OE4BMYKM7646BH36PE4 \
  | 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: d6aa1ac36e2702cc299ff73c13efcf271f606974eac7fe5a48b6ce7886dd1d6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41fdf586cc761a6eb50b727ac770fb9d609433ecf9b8195cf63a97d8c6105cc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-01-30T17:01:30Z",
    "title_canon_sha256": "9d6dd67660d4099aab6dcc9b342ece2ad672313829aa9fb2d7986021162ff913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7287",
    "kind": "arxiv",
    "version": 2
  }
}