Pith Number

pith:25APXIX4

pith:2012:25APXIX4BECELXXBTCFJKLQI4L

not attested not anchored not stored refs pending

Quasi-Shadowing for Partially Hyperbolic Diffeomorphisms

Huyi Hu, Yujun Zhu, Yunhua Zhou

arxiv:1210.4988 v2 · 2012-10-17 · 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{25APXIX4BECELXXBTCFJKLQI4L}

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	2026-05-17T23:53:36.008741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d740fba2fc090445dee1988a952e08e2f2a96294298b3de8fe5239169b1e3b08

Aliases

arxiv: 1210.4988 · arxiv_version: 1210.4988v2 · doi: 10.48550/arxiv.1210.4988 · pith_short_12: 25APXIX4BECE · pith_short_16: 25APXIX4BECELXXB · pith_short_8: 25APXIX4

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/25APXIX4BECELXXBTCFJKLQI4L \
  | 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: d740fba2fc090445dee1988a952e08e2f2a96294298b3de8fe5239169b1e3b08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9aca977dacf0fa8da4802dbc5b83d5ba16d4ea7d5c3f9e6a999c2c76542a2cc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-17T23:31:41Z",
    "title_canon_sha256": "8d940564ec28204d86c27b8b03067a1a9880f79ffad4fd102563fbc2f6f2432c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4988",
    "kind": "arxiv",
    "version": 2
  }
}