Pith Number

pith:KQ3XGXPU

pith:2014:KQ3XGXPUL6MPFWQLCISYTX6HEE

not attested not anchored not stored refs pending

Multiple mixing from weak hyperbolicity by the Hopf argument

Boris Hasselblatt, Serge Troubetzkoy (I2M), Yves Coud\`ene (LMBA)

arxiv:1406.4015 v2 · 2014-06-16 · 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{KQ3XGXPUL6MPFWQLCISYTX6HEE}

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	2026-05-18T01:33:06.911303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5437735df45f98f2da0b122589dfc72137d883dde7d1415a8733fed363752fc4

Aliases

arxiv: 1406.4015 · arxiv_version: 1406.4015v2 · doi: 10.48550/arxiv.1406.4015 · pith_short_12: KQ3XGXPUL6MP · pith_short_16: KQ3XGXPUL6MPFWQL · pith_short_8: KQ3XGXPU

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/KQ3XGXPUL6MPFWQLCISYTX6HEE \
  | 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: 5437735df45f98f2da0b122589dfc72137d883dde7d1415a8733fed363752fc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b53b8e2a55a84b709539125ed08a7ce712eec3930ef3f1ff47ffd1f65c0c7b51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-06-16T13:57:31Z",
    "title_canon_sha256": "4432d6f8ed1fbef6d1bbfa735396eb2de8ad53a967d0412a259807b0ee89fd8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4015",
    "kind": "arxiv",
    "version": 2
  }
}