Pith Number

pith:HJ5ZWXAM

pith:2010:HJ5ZWXAMQDZ2TMJIRDWTX2PVTP

not attested not anchored not stored refs pending

On 3-manifolds that support partially hyperbolic diffeomorphisms

Kamlesh Parwani

arxiv:1001.1029 v1 · 2010-01-07 · 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{HJ5ZWXAMQDZ2TMJIRDWTX2PVTP}

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	2026-05-18T02:10:04.190267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a7b9b5c0c80f3a9b12888ed3be9f59bfdcd3af851e707eb352edfdfc5e114d0

Aliases

arxiv: 1001.1029 · arxiv_version: 1001.1029v1 · doi: 10.48550/arxiv.1001.1029 · pith_short_12: HJ5ZWXAMQDZ2 · pith_short_16: HJ5ZWXAMQDZ2TMJI · pith_short_8: HJ5ZWXAM

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/HJ5ZWXAMQDZ2TMJIRDWTX2PVTP \
  | 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: 3a7b9b5c0c80f3a9b12888ed3be9f59bfdcd3af851e707eb352edfdfc5e114d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eaa5d8226416ccda7a9ad0567cc8277f856a0cb4743e1af4be7f7dc58317ff5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-01-07T06:34:50Z",
    "title_canon_sha256": "c81fbce12fdb29ef8df209420756ad6844be7bc3b56ac795cf9c2a398b72ab6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1029",
    "kind": "arxiv",
    "version": 1
  }
}