Pith Number

pith:4AUJZVUM

pith:2018:4AUJZVUM3QV7KPDAOKMYEMMCRB

not attested not anchored not stored refs pending

Trotter-Kato product formulae in Dixmier ideal

Valentin Zagrebnov (I2M)

arxiv:1812.11411 v1 · 2018-12-29 · 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{4AUJZVUM3QV7KPDAOKMYEMMCRB}

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	2026-05-17T23:57:12.037609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0289cd68cdc2bf53c607299823182886116a8c23dec2792aa9670a48a22d5d6

Aliases

arxiv: 1812.11411 · arxiv_version: 1812.11411v1 · doi: 10.48550/arxiv.1812.11411 · pith_short_12: 4AUJZVUM3QV7 · pith_short_16: 4AUJZVUM3QV7KPDA · pith_short_8: 4AUJZVUM

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/4AUJZVUM3QV7KPDAOKMYEMMCRB \
  | 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: e0289cd68cdc2bf53c607299823182886116a8c23dec2792aa9670a48a22d5d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a810c57e1404c0a25c034b03d1689a35f051b29d8cfc6e5bb794a3d795960bd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-29T17:55:59Z",
    "title_canon_sha256": "a22a968a0a7b3da4df238959ce4a5c711882ef2237f9817dc3b840c55890e72e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11411",
    "kind": "arxiv",
    "version": 1
  }
}