Pith Number

pith:JH4FDMDW

pith:2018:JH4FDMDW6QVOMK2QT6JX2YHWM4

not attested not anchored not stored refs pending

Functions of commuting contractions under perturbation

Vladimir Peller

arxiv:1804.02121 v1 · 2018-04-06 · math.FA · math.CA · math.CV · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JH4FDMDW6QVOMK2QT6JX2YHWM4}

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	2026-05-18T00:19:05.765718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49f851b076f42ae62b509f937d60f667012e21f303028e22407bcd615b27c348

Aliases

arxiv: 1804.02121 · arxiv_version: 1804.02121v1 · doi: 10.48550/arxiv.1804.02121 · pith_short_12: JH4FDMDW6QVO · pith_short_16: JH4FDMDW6QVOMK2Q · pith_short_8: JH4FDMDW

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/JH4FDMDW6QVOMK2QT6JX2YHWM4 \
  | 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: 49f851b076f42ae62b509f937d60f667012e21f303028e22407bcd615b27c348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb6482fee48a7b30a45f77e5c1d393cc71e6353e1fbadd4c911e81c3ed097d94",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-06T03:11:37Z",
    "title_canon_sha256": "46f1a7a6a0784b8e54cec3b1d09005c081bb96285d118b6546203b68bc87d3c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02121",
    "kind": "arxiv",
    "version": 1
  }
}