Pith Number

pith:CI2Z5IPV

pith:2016:CI2Z5IPVGBGPSPK44YRCAKYT3T

not attested not anchored not stored refs pending

A General Method to Determine Limiting Optimal Shapes for Edge-Isoperimetric Inequalities

Ellen Veomett, Emmanuel Tsukerman

arxiv:1608.06373 v1 · 2016-08-23 · math.CO · 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{CI2Z5IPVGBGPSPK44YRCAKYT3T}

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	2026-05-18T01:08:14.215040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12359ea1f5304cf93d5ce622202b13dcd949bb2f2ff0251cdd5065823c8a29cf

Aliases

arxiv: 1608.06373 · arxiv_version: 1608.06373v1 · doi: 10.48550/arxiv.1608.06373 · pith_short_12: CI2Z5IPVGBGP · pith_short_16: CI2Z5IPVGBGPSPK4 · pith_short_8: CI2Z5IPV

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/CI2Z5IPVGBGPSPK44YRCAKYT3T \
  | 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: 12359ea1f5304cf93d5ce622202b13dcd949bb2f2ff0251cdd5065823c8a29cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7511fcff2c9794b4d0688ba41bbc271d1069c17fdb7235f90aed06539d896fe3",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-23T03:39:07Z",
    "title_canon_sha256": "b540b028ee31bf235e453ae774b9da8f071f6b09855332802c64b66fe1665678"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06373",
    "kind": "arxiv",
    "version": 1
  }
}