Pith Number

pith:7UENXBGP

pith:2018:7UENXBGPCWEC54V33IRWBVFG65

not attested not anchored not stored refs pending

On a P\'olya functional for rhombi, isosceles triangles, and thinning convex sets

C. Nitsch, C. Trombetti, M. van den Berg, V. Ferone

arxiv:1811.04503 v2 · 2018-11-11 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UENXBGPCWEC54V33IRWBVFG65}

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	2026-05-17T23:45:46.594679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd08db84cf15882ef2bbda2360d4a6f747a82c3d886300b143b1351548a6f9fd

Aliases

arxiv: 1811.04503 · arxiv_version: 1811.04503v2 · doi: 10.48550/arxiv.1811.04503 · pith_short_12: 7UENXBGPCWEC · pith_short_16: 7UENXBGPCWEC54V3 · pith_short_8: 7UENXBGP

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/7UENXBGPCWEC54V33IRWBVFG65 \
  | 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: fd08db84cf15882ef2bbda2360d4a6f747a82c3d886300b143b1351548a6f9fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f695617e7e92cb13b84a19fb7e3a65a5ff474345340a20b85b137c0bf93f134a",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-11T23:14:51Z",
    "title_canon_sha256": "169c76f3ddc22a89a28bce1f74e67c9900412f6ed409ad47a83b36cb3683c3c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04503",
    "kind": "arxiv",
    "version": 2
  }
}