Pith Number

pith:YLHDFRY4

pith:2019:YLHDFRY4BXPCGLBISSQTBK4GF7

not attested not anchored not stored refs pending

On the fixed volume discrepancy of the Fibonacci sets in the integral norms

Mario Ullrich, Vladimir Temlyakov

arxiv:1908.04658 v1 · 2019-08-13 · math.NA · cs.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YLHDFRY4BXPCGLBISSQTBK4GF7}

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	2026-07-04T23:55:15.309424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2ce32c71c0dde232c2894a130ab862ffe6deea816297254f22e4a4f0ef0c917

Aliases

arxiv: 1908.04658 · arxiv_version: 1908.04658v1 · doi: 10.48550/arxiv.1908.04658 · pith_short_12: YLHDFRY4BXPC · pith_short_16: YLHDFRY4BXPCGLBI · pith_short_8: YLHDFRY4

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/YLHDFRY4BXPCGLBISSQTBK4GF7 \
  | 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: c2ce32c71c0dde232c2894a130ab862ffe6deea816297254f22e4a4f0ef0c917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "706aca6e2a28289a66ab1a131858cea953918e980306003cd0705c483ae9f502",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-08-13T14:29:26Z",
    "title_canon_sha256": "33aa6ac358004f516c7e2eb2415c0ee7ec28cc3d7bd20b80032474e9484fdc2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04658",
    "kind": "arxiv",
    "version": 1
  }
}