Pith Number

pith:PPKJH4DK

pith:2017:PPKJH4DK553TU4MAPFBUULYGOR

not attested not anchored not stored refs pending

Characteristic functions as bounded multipliers on anisotropic spaces

Viviane Baladi

arxiv:1704.00157 v2 · 2017-04-01 · math.DS · math.FA · nlin.CD

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPKJH4DK553TU4MAPFBUULYGOR}

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	2026-05-18T00:26:16.463954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bd493f06aef773a718079434a2f06747b3097c154c9d8c205ea48766ff0bc2f

Aliases

arxiv: 1704.00157 · arxiv_version: 1704.00157v2 · doi: 10.48550/arxiv.1704.00157 · pith_short_12: PPKJH4DK553T · pith_short_16: PPKJH4DK553TU4MA · pith_short_8: PPKJH4DK

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/PPKJH4DK553TU4MAPFBUULYGOR \
  | 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: 7bd493f06aef773a718079434a2f06747b3097c154c9d8c205ea48766ff0bc2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c22b65390812bda0538ccfc276c8eb47d47f9ff03ef7821c5a3cc39c2ab2837f",
    "cross_cats_sorted": [
      "math.FA",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-04-01T11:46:19Z",
    "title_canon_sha256": "c2f00c8b7f5c0692cf51c76d67714b0bf882ba86dfe5c038ce756bae0a7fcc3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00157",
    "kind": "arxiv",
    "version": 2
  }
}