Pith Number

pith:4K3SQODR

pith:2025:4K3SQODRS3LMNIRBSD3ECQFQGS

not attested not anchored not stored refs pending

Exact Poincar\'e Constants in three-dimensional Annuli

Bernd Rummler, Gudrun Th\"ater, Michael Ruzicka

arxiv:2506.13891 v3 · 2025-06-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4K3SQODRS3LMNIRBSD3ECQFQGS}

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	2026-06-09T02:07:04.525812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b728387196d6c6a22190f64140b034961edfca54aa3c73cb8c4df43a5774d3

Aliases

arxiv: 2506.13891 · arxiv_version: 2506.13891v3 · doi: 10.48550/arxiv.2506.13891 · pith_short_12: 4K3SQODRS3LM · pith_short_16: 4K3SQODRS3LMNIRB · pith_short_8: 4K3SQODR

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/4K3SQODRS3LMNIRBSD3ECQFQGS \
  | 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: e2b728387196d6c6a22190f64140b034961edfca54aa3c73cb8c4df43a5774d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e79af3160719cc935e135b07d84117cacf8a63f708b7d1fad3b2acf548d9b6f5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-16T18:14:44Z",
    "title_canon_sha256": "9780960076baeb48c028d25bc3ed202efcc49b1f232389bf9d13df3c336f2888"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.13891",
    "kind": "arxiv",
    "version": 3
  }
}