Pith Number

pith:IP5BYZUK

pith:2017:IP5BYZUKOQOKMGEBDCKNM5UWBO

not attested not anchored not stored refs pending

A stability result for the cube edge isoperimetric inequality

Eoin Long, Peter Keevash

arxiv:1703.10122 v1 · 2017-03-29 · 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{IP5BYZUKOQOKMGEBDCKNM5UWBO}

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	2026-05-18T00:47:38.605338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43fa1c668a741ca618811894d676960b8e049a07ae56fa84def1c4ffdafdc44b

Aliases

arxiv: 1703.10122 · arxiv_version: 1703.10122v1 · doi: 10.48550/arxiv.1703.10122 · pith_short_12: IP5BYZUKOQOK · pith_short_16: IP5BYZUKOQOKMGEB · pith_short_8: IP5BYZUK

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/IP5BYZUKOQOKMGEBDCKNM5UWBO \
  | 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: 43fa1c668a741ca618811894d676960b8e049a07ae56fa84def1c4ffdafdc44b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "860297da19bec6e009abf44b2702b231f415d745dd55807669f74fb07b49d8c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-29T16:29:46Z",
    "title_canon_sha256": "69cdfc33c3cba1a1f67f83c327b89d37c47e94ebe9a420230d6a081dc7e33e21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10122",
    "kind": "arxiv",
    "version": 1
  }
}