Pith Number

pith:6AHDOQ5T

pith:2012:6AHDOQ5TZTMDTLGOXLJTS755RI

not attested not anchored not stored refs pending

Ergodicity and partial hyperbolicity on the 3-torus

Andy Hammerlindl, Ra\'ul Ures

arxiv:1208.5660 v1 · 2012-08-28 · 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{6AHDOQ5TZTMDTLGOXLJTS755RI}

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	2026-05-18T03:46:58.112460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f00e3743b3ccd839accebad3397fbd8a27739a5790957726446ca8a09b0c1bf9

Aliases

arxiv: 1208.5660 · arxiv_version: 1208.5660v1 · doi: 10.48550/arxiv.1208.5660 · pith_short_12: 6AHDOQ5TZTMD · pith_short_16: 6AHDOQ5TZTMDTLGO · pith_short_8: 6AHDOQ5T

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/6AHDOQ5TZTMDTLGOXLJTS755RI \
  | 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: f00e3743b3ccd839accebad3397fbd8a27739a5790957726446ca8a09b0c1bf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "590c6991612f865f3bac1d3e38f2ae0552fa4842d4534ca96fbb59246cb48355",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-28T13:37:11Z",
    "title_canon_sha256": "12a77a6aaeb054b42e3abc333f09e494c01add43b8de0320d5a9dbfe212f5125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5660",
    "kind": "arxiv",
    "version": 1
  }
}