Pith Number

pith:TZ2H6Y2U

pith:2015:TZ2H6Y2UJ5VACXQDKK6JHTWBYL

not attested not anchored not stored refs pending

Path connectedness and entropy density of the space of ergodic hyperbolic measures

Anton Gorodetski, Yakov Pesin

arxiv:1505.02216 v2 · 2015-05-09 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZ2H6Y2UJ5VACXQDKK6JHTWBYL}

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	2026-05-18T00:42:49.110383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e747f63544f6a015e0352bc93cec1c2c764e7335ce2c5931122af43bd23904c

Aliases

arxiv: 1505.02216 · arxiv_version: 1505.02216v2 · doi: 10.48550/arxiv.1505.02216 · pith_short_12: TZ2H6Y2UJ5VA · pith_short_16: TZ2H6Y2UJ5VACXQD · pith_short_8: TZ2H6Y2U

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/TZ2H6Y2UJ5VACXQDKK6JHTWBYL \
  | 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: 9e747f63544f6a015e0352bc93cec1c2c764e7335ce2c5931122af43bd23904c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70f894e3728b3c3bcf3698192074125a53963143ae682c5121329485aad6f88b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-05-09T00:42:57Z",
    "title_canon_sha256": "412770d1976d8d9e8699e662e0c0c433e3b29e78fbbd77462efe07950865b83b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02216",
    "kind": "arxiv",
    "version": 2
  }
}