Pith Number

pith:VRFCNXIF

pith:2018:VRFCNXIFXF72ABQ4O7VD2DAWS3

not attested not anchored not stored refs pending

On the speed of convergence in the strong density theorem

Constantinos Gryllakis (Department of Mathematics, Kapodistrian University of Athens), National, Panagiotis Georgopoulos

arxiv:1805.10035 v3 · 2018-05-25 · 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{VRFCNXIFXF72ABQ4O7VD2DAWS3}

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	2026-05-17T23:45:46.837196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4a26dd05b97fa0061c77ea3d0c1696d85c286b8850e44fd0ada2fa800113df

Aliases

arxiv: 1805.10035 · arxiv_version: 1805.10035v3 · doi: 10.48550/arxiv.1805.10035 · pith_short_12: VRFCNXIFXF72 · pith_short_16: VRFCNXIFXF72ABQ4 · pith_short_8: VRFCNXIF

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/VRFCNXIFXF72ABQ4O7VD2DAWS3 \
  | 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: ac4a26dd05b97fa0061c77ea3d0c1696d85c286b8850e44fd0ada2fa800113df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d6eef06ef6f943575e0bcd59f0b8866c14c740912f1adf84c6629048265837a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-25T08:37:02Z",
    "title_canon_sha256": "279ba319dc0225ef0d46e2e4743e96c86c17c65dce8ca6469bdaeb7a45e2cde1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10035",
    "kind": "arxiv",
    "version": 3
  }
}