Pith Number

pith:BEQK5RIP

pith:2015:BEQK5RIPWHXMUHSGE3L44Z62WT

not attested not anchored not stored refs pending

Extremal dichotomy for uniformly hyperbolic systems

Ana Cristina Moreira Freitas, Jorge Milhazes Freitas, Maria Carvalho, Mark Holland, Matthew Nicol

arxiv:1501.05023 v2 · 2015-01-20 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEQK5RIPWHXMUHSGE3L44Z62WT}

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	2026-05-18T01:18:25.602948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0920aec50fb1eeca1e4626d7ce67dab4c5d5ce2da8ce584969bc91ce118e58cc

Aliases

arxiv: 1501.05023 · arxiv_version: 1501.05023v2 · doi: 10.48550/arxiv.1501.05023 · pith_short_12: BEQK5RIPWHXM · pith_short_16: BEQK5RIPWHXMUHSG · pith_short_8: BEQK5RIP

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/BEQK5RIPWHXMUHSGE3L44Z62WT \
  | 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: 0920aec50fb1eeca1e4626d7ce67dab4c5d5ce2da8ce584969bc91ce118e58cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdabd8348771e29d19c6a799852ea6b50efe812a588475bcf8d759d06ab47f04",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-01-20T23:51:02Z",
    "title_canon_sha256": "774dba7e0afaa2561a27b6a0740ff01195b24e62d82d9822e648c5056713c264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05023",
    "kind": "arxiv",
    "version": 2
  }
}