Pith Number

pith:XGPOG7SJ

pith:2016:XGPOG7SJWMFKUQMH3RPWRWL227

not attested not anchored not stored refs pending

An isoperimetric inequality for diffused surfaces

Christian Scharrer, Ulrich Menne

arxiv:1612.03823 v2 · 2016-12-12 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGPOG7SJWMFKUQMH3RPWRWL227}

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	2026-05-18T00:19:04.358014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b99ee37e49b30aaa4187dc5f68d97ad7ec6de567672ef2541a9e701c2199ac99

Aliases

arxiv: 1612.03823 · arxiv_version: 1612.03823v2 · doi: 10.48550/arxiv.1612.03823 · pith_short_12: XGPOG7SJWMFK · pith_short_16: XGPOG7SJWMFKUQMH · pith_short_8: XGPOG7SJ

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/XGPOG7SJWMFKUQMH3RPWRWL227 \
  | 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: b99ee37e49b30aaa4187dc5f68d97ad7ec6de567672ef2541a9e701c2199ac99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f6e6b539d80dbc1709f53536a995885517031b28384e171ae220c1f44ad62c9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-12T18:06:39Z",
    "title_canon_sha256": "7688e20d9417c6cdcf2f72db742027797bd75493719a1374d0c9d61399d66a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03823",
    "kind": "arxiv",
    "version": 2
  }
}