Pith Number

pith:3CACUFUC

pith:2018:3CACUFUC5DPW4BFW5BUP2CZHOD

not attested not anchored not stored refs pending

Some Class of Linear Operators Involved in Functional Equations

Janusz Morawiec, Thomas Z\"urcher

arxiv:1811.06275 v1 · 2018-11-15 · 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{3CACUFUC5DPW4BFW5BUP2CZHOD}

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	2026-05-18T00:00:38.146619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8802a1682e8df6e04b6e868fd0b2770e39543ce2e17662c7f203ca2caf0a3c3

Aliases

arxiv: 1811.06275 · arxiv_version: 1811.06275v1 · doi: 10.48550/arxiv.1811.06275 · pith_short_12: 3CACUFUC5DPW · pith_short_16: 3CACUFUC5DPW4BFW · pith_short_8: 3CACUFUC

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/3CACUFUC5DPW4BFW5BUP2CZHOD \
  | 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: d8802a1682e8df6e04b6e868fd0b2770e39543ce2e17662c7f203ca2caf0a3c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60edfd3f71c6502b6c7f52774570b6c8c9f66b773cce9210212834caa00f89e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-11-15T10:24:09Z",
    "title_canon_sha256": "712ea282d5004ad133230dcea53e4995d51e27323cd2a22f23feb4c17b433bfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06275",
    "kind": "arxiv",
    "version": 1
  }
}