Pith Number

pith:IBEPURXC

pith:2022:IBEPURXCRBPXQIUEYILMZ3TZN6

not attested not anchored not stored refs pending

Local extrema for hypercube sections

Lionel Pournin

arxiv:2203.15054 v2 · 2022-03-28 · math.MG · 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{IBEPURXCRBPXQIUEYILMZ3TZN6}

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	2026-07-05T08:35:33.147823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4048fa46e2885f782284c216ccee796f9f1e6148ca525721b394f034696a8962

Aliases

arxiv: 2203.15054 · arxiv_version: 2203.15054v2 · doi: 10.48550/arxiv.2203.15054 · pith_short_12: IBEPURXCRBPX · pith_short_16: IBEPURXCRBPXQIUE · pith_short_8: IBEPURXC

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/IBEPURXCRBPXQIUEYILMZ3TZN6 \
  | 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: 4048fa46e2885f782284c216ccee796f9f1e6148ca525721b394f034696a8962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f72de85f68e172ef88488e22e517018cd8d1755513f2e90c74a21408d8c641fb",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2022-03-28T19:44:58Z",
    "title_canon_sha256": "7bdb6e54dae3d5cf9ead5436baf2ce19f42fe9f7f5e4d62d8403358b3f012ef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.15054",
    "kind": "arxiv",
    "version": 2
  }
}