Pith Number

pith:L7YP6CWQ

pith:2013:L7YP6CWQAISMIJEW6DLMIASDU7

not attested not anchored not stored refs pending

Preserving closedness of operators under summation

Nikolaos Roidos

arxiv:1307.3462 v2 · 2013-07-12 · 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{L7YP6CWQAISMIJEW6DLMIASDU7}

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	2026-05-18T02:51:34.153877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ff0ff0ad00224c42496f0d6c40243a7f41ef2c6f03108ddbcc84e8a6bd4b5f3

Aliases

arxiv: 1307.3462 · arxiv_version: 1307.3462v2 · doi: 10.48550/arxiv.1307.3462 · pith_short_12: L7YP6CWQAISM · pith_short_16: L7YP6CWQAISMIJEW · pith_short_8: L7YP6CWQ

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/L7YP6CWQAISMIJEW6DLMIASDU7 \
  | 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: 5ff0ff0ad00224c42496f0d6c40243a7f41ef2c6f03108ddbcc84e8a6bd4b5f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3750ad1f714a37b0c93c0f2a6654324c5e4dc6cd0076e53274733ce44849534",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-12T14:03:29Z",
    "title_canon_sha256": "bc715aabdd03e1fc81d30e5de1ff76cabdcd5a75c8ff0d583d5090edfa6136d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3462",
    "kind": "arxiv",
    "version": 2
  }
}