Pith Number

pith:SR3RCWCD

pith:2012:SR3RCWCD5EQ4ZTYC5Q43QDCU7D

not attested not anchored not stored refs pending

The Edge-Isoperimetric Problem in $(\mathbb{N}^2,\infty)$

Emmanuel Tsukerman

arxiv:1205.6063 v4 · 2012-05-28 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SR3RCWCD5EQ4ZTYC5Q43QDCU7D}

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	2026-05-18T03:13:58.418195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9477115843e921cccf02ec39b80c54f8ddbb7d85a3c802df5e86168007e4731f

Aliases

arxiv: 1205.6063 · arxiv_version: 1205.6063v4 · doi: 10.48550/arxiv.1205.6063 · pith_short_12: SR3RCWCD5EQ4 · pith_short_16: SR3RCWCD5EQ4ZTYC · pith_short_8: SR3RCWCD

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/SR3RCWCD5EQ4ZTYC5Q43QDCU7D \
  | 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: 9477115843e921cccf02ec39b80c54f8ddbb7d85a3c802df5e86168007e4731f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a175cf741b2877f805fe099a19f770ba16369951b52ad1ac60a92b353b2b24f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-28T09:28:27Z",
    "title_canon_sha256": "1b9cdf3a982209a54bf0777c7b249e5f96983671513c9f0b23b7f382560fc24d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6063",
    "kind": "arxiv",
    "version": 4
  }
}