Pith Number

pith:ILOYJVFX

pith:2014:ILOYJVFXSKSIQUTAZ5TCXW4PVZ

not attested not anchored not stored refs pending

Chain-transitivity of partially hyperbolic diffeomorphisms on $\mathbb{T}^3$ isotopic to Anosov

Shaobo Gan

arxiv:1408.6363 v2 · 2014-08-27 · 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{ILOYJVFXSKSIQUTAZ5TCXW4PVZ}

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	2026-05-18T02:44:00.204058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42dd84d4b792a4885260cf662bdb8fae4d73f87314a0166780aa0b32ad8c3448

Aliases

arxiv: 1408.6363 · arxiv_version: 1408.6363v2 · doi: 10.48550/arxiv.1408.6363 · pith_short_12: ILOYJVFXSKSI · pith_short_16: ILOYJVFXSKSIQUTA · pith_short_8: ILOYJVFX

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/ILOYJVFXSKSIQUTAZ5TCXW4PVZ \
  | 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: 42dd84d4b792a4885260cf662bdb8fae4d73f87314a0166780aa0b32ad8c3448

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd79ba2a6d028875022ffcc51dd271975b7d6e4e9f6b397c2453fab007ef2482",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-08-27T09:30:53Z",
    "title_canon_sha256": "8bfb0883d730396dc00e5c65bf41f67d1dbbe48cc9517477e60403381e7dba48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6363",
    "kind": "arxiv",
    "version": 2
  }
}