Pith Number

pith:YWHEMX63

pith:2012:YWHEMX63LZIAWKEXUPNNBVRQ2C

not attested not anchored not stored refs pending

An approximate isoperimetric inequality for r-sets

David Ellis, Demetres Christofides, Peter Keevash

arxiv:1203.3699 v1 · 2012-03-16 · 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{YWHEMX63LZIAWKEXUPNNBVRQ2C}

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	2026-05-18T03:59:50.142697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c58e465fdb5e500b2897a3dad0d630d09ba101c464b2d8760fcf0508f0cf065d

Aliases

arxiv: 1203.3699 · arxiv_version: 1203.3699v1 · doi: 10.48550/arxiv.1203.3699 · pith_short_12: YWHEMX63LZIA · pith_short_16: YWHEMX63LZIAWKEX · pith_short_8: YWHEMX63

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/YWHEMX63LZIAWKEXUPNNBVRQ2C \
  | 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: c58e465fdb5e500b2897a3dad0d630d09ba101c464b2d8760fcf0508f0cf065d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77649631adcbd495fe2e37c9de6ecbe108baef4b5173fc349f5c560a5cd51a22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-16T13:23:29Z",
    "title_canon_sha256": "bc3057b7e056d49d475f5a214de17c54d3a35c8bd251d4edb5f1f372befb87e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3699",
    "kind": "arxiv",
    "version": 1
  }
}