Pith Number

pith:UCNCM7NH

pith:2015:UCNCM7NHDOSGHZW4TIYINHNFQ7

not attested not anchored not stored refs pending

The $C^1$ density of nonuniform hyperbolicity in $C^{ r}$ conservative diffeomorphisms

Chao Liang, Yun Yang

arxiv:1508.06714 v1 · 2015-08-27 · 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{UCNCM7NHDOSGHZW4TIYINHNFQ7}

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	2026-05-18T01:34:41.269639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a09a267da71ba463e6dc9a30869da587e4f7c1dd7fc4abec28c89248f5b17f66

Aliases

arxiv: 1508.06714 · arxiv_version: 1508.06714v1 · doi: 10.48550/arxiv.1508.06714 · pith_short_12: UCNCM7NHDOSG · pith_short_16: UCNCM7NHDOSGHZW4 · pith_short_8: UCNCM7NH

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/UCNCM7NHDOSGHZW4TIYINHNFQ7 \
  | 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: a09a267da71ba463e6dc9a30869da587e4f7c1dd7fc4abec28c89248f5b17f66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cd917f8661012bfbe3e908b0ee0592921d0652e564a6ef05e1b674aa2e42e46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-27T03:32:13Z",
    "title_canon_sha256": "6be4835b6ba7ceb29790022ab4667cc8148a75b2d60d4473b2bbbf7a4e65a42e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06714",
    "kind": "arxiv",
    "version": 1
  }
}