Pith Number

pith:MEFVQN3Z

pith:2013:MEFVQN3ZK5NUF7HHUC6J3TJ7EB

not attested not anchored not stored refs pending

Generators with a closure relation

Felix Schwenninger, Hans Zwart

arxiv:1309.4322 v1 · 2013-09-17 · 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{MEFVQN3ZK5NUF7HHUC6J3TJ7EB}

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	2026-05-18T01:03:44.736989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

610b583779575b42fce7a0bc9dcd3f206d0b10e2b1f94d1b39f7554d609518a4

Aliases

arxiv: 1309.4322 · arxiv_version: 1309.4322v1 · doi: 10.48550/arxiv.1309.4322 · pith_short_12: MEFVQN3ZK5NU · pith_short_16: MEFVQN3ZK5NUF7HH · pith_short_8: MEFVQN3Z

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/MEFVQN3ZK5NUF7HHUC6J3TJ7EB \
  | 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: 610b583779575b42fce7a0bc9dcd3f206d0b10e2b1f94d1b39f7554d609518a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "931086fdda6b15686c429efd356788272ac415916ed460544139defdf484d8b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-17T14:22:44Z",
    "title_canon_sha256": "0ad2b96dbff0698d2e6cd9147e9e91bd4ad13a4481121269508d3aa72d3d987e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4322",
    "kind": "arxiv",
    "version": 1
  }
}