Pith Number

pith:7JS66FGC

pith:2016:7JS66FGCKR4LHWEWRDO4WJIEGJ

not attested not anchored not stored refs pending

On the convergence of products of operator nets

Denis Fufaev

arxiv:1602.06576 v1 · 2016-02-21 · 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{7JS66FGCKR4LHWEWRDO4WJIEGJ}

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	2026-05-18T01:20:13.639221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa65ef14c25478b3d89688ddcb2504324d8a22a7bb8eeb0bfe85f243620f6bcc

Aliases

arxiv: 1602.06576 · arxiv_version: 1602.06576v1 · doi: 10.48550/arxiv.1602.06576 · pith_short_12: 7JS66FGCKR4L · pith_short_16: 7JS66FGCKR4LHWEW · pith_short_8: 7JS66FGC

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/7JS66FGCKR4LHWEWRDO4WJIEGJ \
  | 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: fa65ef14c25478b3d89688ddcb2504324d8a22a7bb8eeb0bfe85f243620f6bcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de0566cbb86d910a8ff8985520ac7cc0b25e2d2a4717b7c1be598470426cefb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-02-21T20:35:24Z",
    "title_canon_sha256": "492755bd6cfffe2ece6b3a74d4a0b2705dcd4f72eb42d4299a8e355e949c330d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06576",
    "kind": "arxiv",
    "version": 1
  }
}