Pith Number

pith:TD6DFTTA

pith:2014:TD6DFTTACWFFKXIXZ52DQBGVVT

not attested not anchored not stored refs pending

Almost sure mixing rates for non-uniformly expanding maps

Helder Vilarinho, Xin Li

arxiv:1501.00010 v1 · 2014-12-30 · 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	2026-05-18T02:30:15.041435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98fc32ce60158a555d17cf743804d5aceaf0843d54eea5ce875aa1437046d880

Aliases

arxiv: 1501.00010 · arxiv_version: 1501.00010v1 · doi: 10.48550/arxiv.1501.00010 · pith_short_12: TD6DFTTACWFF · pith_short_16: TD6DFTTACWFFKXIX · pith_short_8: TD6DFTTA

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/TD6DFTTACWFFKXIXZ52DQBGVVT \
  | 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: 98fc32ce60158a555d17cf743804d5aceaf0843d54eea5ce875aa1437046d880

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee4002f801041a6a7faa5122ddb47f207e817f044c4e637579f2e83048fd3d21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-12-30T21:00:23Z",
    "title_canon_sha256": "8000fb7efcd12bd214f3b06ea26174957a519bacbd3a5a63ed8886ddbea91dc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00010",
    "kind": "arxiv",
    "version": 1
  }
}