Pith Number

pith:U7J6HDR3

pith:2018:U7J6HDR35IYXOXPAHG3JPAW2LQ

not attested not anchored not stored refs pending

Weak* and entropy approximation of nonhyperbolic measures: a geometrical approach

Bruno Santiago, Katrin Gelfert, Lorenzo J. D\'iaz

arxiv:1804.05913 v2 · 2018-04-16 · 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{U7J6HDR35IYXOXPAHG3JPAW2LQ}

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	2026-05-17T23:42:58.968336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7d3e38e3bea31775de039b69782da5c1d200e7311ca4e6ea6389d60358f4f8d

Aliases

arxiv: 1804.05913 · arxiv_version: 1804.05913v2 · doi: 10.48550/arxiv.1804.05913 · pith_short_12: U7J6HDR35IYX · pith_short_16: U7J6HDR35IYXOXPA · pith_short_8: U7J6HDR3

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/U7J6HDR35IYXOXPAHG3JPAW2LQ \
  | 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: a7d3e38e3bea31775de039b69782da5c1d200e7311ca4e6ea6389d60358f4f8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c73b6779c5a58ffb7361df067e38d8cfb9d42c95e5f9578d2f5ef60caf14992",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-04-16T19:51:37Z",
    "title_canon_sha256": "14dc0e349f6a0b3db369b711b5972133e07f272f58608a08ec8402fd455d9a18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05913",
    "kind": "arxiv",
    "version": 2
  }
}