Pith Number

pith:HKLMWJ3B

pith:2026:HKLMWJ3BWVKB5SP6PGNRHME4PR

not attested not anchored not stored refs pending

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions

Bernardo Gonz\'alez Merino, Florian Grundbacher, Ren\'e Brandenberg

arxiv:2607.27041 v1 · 2026-07-29 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKLMWJ3BWVKB5SP6PGNRHME4PR}

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	2026-07-30T01:23:24.996753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

3a96cb2761b5541ec9fe799b13b09c7c5e47d5a0661db98608af895a455158cb

Aliases

arxiv: 2607.27041 · arxiv_version: 2607.27041v1 · doi: 10.48550/arxiv.2607.27041 · pith_short_12: HKLMWJ3BWVKB · pith_short_16: HKLMWJ3BWVKB5SP6 · pith_short_8: HKLMWJ3B

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/HKLMWJ3BWVKB5SP6PGNRHME4PR \
  | 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: 3a96cb2761b5541ec9fe799b13b09c7c5e47d5a0661db98608af895a455158cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee162483d5720c7f99e9a70e438c8901f7cc11a4bc2e7e35dc049a58c15f77c3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-07-29T15:33:50Z",
    "title_canon_sha256": "d6bafdd7bc5916cc1428ad8630422664deb785515a368509202bc793002f3a4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27041",
    "kind": "arxiv",
    "version": 1
  }
}