Pith Number

pith:VG4VNMRH

pith:2016:VG4VNMRHD4O7TJ4SKR6VELQYEG

not attested not anchored not stored refs pending

Boundedness, compactness, and invariant norms for Banach cocycles over hyperbolic systems

Boris Kalinin, Victoria Sadovskaya

arxiv:1608.05758 v1 · 2016-08-19 · 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{VG4VNMRHD4O7TJ4SKR6VELQYEG}

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	2026-05-18T01:08:23.301102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9b956b2271f1df9a792547d522e182195c19a5433e1fca3353eb6cb22742ef3

Aliases

arxiv: 1608.05758 · arxiv_version: 1608.05758v1 · doi: 10.48550/arxiv.1608.05758 · pith_short_12: VG4VNMRHD4O7 · pith_short_16: VG4VNMRHD4O7TJ4S · pith_short_8: VG4VNMRH

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/VG4VNMRHD4O7TJ4SKR6VELQYEG \
  | 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: a9b956b2271f1df9a792547d522e182195c19a5433e1fca3353eb6cb22742ef3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "407689467b66c70fc0c8a30a70570bf3c357962dab447e854980e7982bdacdce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-08-19T23:37:08Z",
    "title_canon_sha256": "80f3b4c8ebf432eec377b9619c77abbafa76155700a8cd8a3a1a1e94d4d1fc86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05758",
    "kind": "arxiv",
    "version": 1
  }
}