Pith Number

pith:Q4YJXZJ3

pith:2017:Q4YJXZJ3XBUIATZ25GE75UWV3I

not attested not anchored not stored refs pending

Strict s-numbers of the Volterra operator

Jan Lang, \"Ozlem Bak\c{s}i, Taqseer Khan, V\'it Musil

arxiv:1701.01111 v2 · 2017-01-04 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4YJXZJ3XBUIATZ25GE75UWV3I}

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	2026-05-18T00:16:56.642922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87309be53bb868804f3ae989fed2d5da0781ff2d12ef483e9085bb18e72b69b6

Aliases

arxiv: 1701.01111 · arxiv_version: 1701.01111v2 · doi: 10.48550/arxiv.1701.01111 · pith_short_12: Q4YJXZJ3XBUI · pith_short_16: Q4YJXZJ3XBUIATZ2 · pith_short_8: Q4YJXZJ3

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/Q4YJXZJ3XBUIATZ25GE75UWV3I \
  | 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: 87309be53bb868804f3ae989fed2d5da0781ff2d12ef483e9085bb18e72b69b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f13e5e55b5bd7d1bac2ff2c2f5a84f4d89a96c98eb523d66b735c5a281cdf503",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-01-04T17:16:33Z",
    "title_canon_sha256": "dfea1c1cc1df213ab73d33d7746b5c0f50369502983e53ba873dcc4d8de5907b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01111",
    "kind": "arxiv",
    "version": 2
  }
}