Pith Number

pith:N4U2DTZM

pith:2017:N4U2DTZMGAW3TUV7KPLNP4YO7Q

not attested not anchored not stored refs pending

Topological obstructions to dominated splitting for ergodic translations on the higher dimensional torus

Pedro Duarte, Silvius Klein

arxiv:1704.03036 v1 · 2017-04-10 · 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{N4U2DTZMGAW3TUV7KPLNP4YO7Q}

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	2026-05-18T00:46:33.927067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f29a1cf2c302db9d2bf53d6d7f30efc3a95577e2065f76f452a9398315cf69b

Aliases

arxiv: 1704.03036 · arxiv_version: 1704.03036v1 · doi: 10.48550/arxiv.1704.03036 · pith_short_12: N4U2DTZMGAW3 · pith_short_16: N4U2DTZMGAW3TUV7 · pith_short_8: N4U2DTZM

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/N4U2DTZMGAW3TUV7KPLNP4YO7Q \
  | 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: 6f29a1cf2c302db9d2bf53d6d7f30efc3a95577e2065f76f452a9398315cf69b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3cfed04729996b25a4ef6bf4bf59b4657abddc2d6d4b354d5c8f6483fbf4747",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-04-10T19:49:36Z",
    "title_canon_sha256": "1c04cd066a637ecc5c5fd237b2092803f7a714ad2b4c17a198edca595d4090e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03036",
    "kind": "arxiv",
    "version": 1
  }
}