Pith Number

pith:VU4I4DCG

pith:2013:VU4I4DCGMEJFV5UOCON7PEQ5HJ

not attested not anchored not stored refs pending

On the spectrum of the operator which is a composition of integration and substitution

Ignat Domanov

arxiv:1301.4889 v1 · 2013-01-21 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VU4I4DCGMEJFV5UOCON7PEQ5HJ}

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	2026-05-18T03:35:55.227177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad388e0c4661125af68e139bf7921d3a40c3de9fef0cc70cb4bbe9e2ffcf0410

Aliases

arxiv: 1301.4889 · arxiv_version: 1301.4889v1 · doi: 10.48550/arxiv.1301.4889 · pith_short_12: VU4I4DCGMEJF · pith_short_16: VU4I4DCGMEJFV5UO · pith_short_8: VU4I4DCG

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/VU4I4DCGMEJFV5UOCON7PEQ5HJ \
  | 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: ad388e0c4661125af68e139bf7921d3a40c3de9fef0cc70cb4bbe9e2ffcf0410

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2571d35c8a204ea85d69aa6e87498a85c47756cdc261ca5d0bb11d94c712af4",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-01-21T15:06:41Z",
    "title_canon_sha256": "a30c99f17c13c169389e53aa1ba1597d49aaa2073124caf633430725f5d29451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4889",
    "kind": "arxiv",
    "version": 1
  }
}