Pith Number

pith:MY7KOO3F

pith:2014:MY7KOO3F2KWE2PBAP5NWVE3JSS

not attested not anchored not stored refs pending

Isoperimetric comparisons via viscosity

Kui Wang, Lei Ni

arxiv:1411.2672 v2 · 2014-11-11 · 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{MY7KOO3F2KWE2PBAP5NWVE3JSS}

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	2026-05-18T02:34:44.587990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

663ea73b65d2ac4d3c207f5b6a936994ad8d050cf6eed980d1b7239fbbde6d02

Aliases

arxiv: 1411.2672 · arxiv_version: 1411.2672v2 · doi: 10.48550/arxiv.1411.2672 · pith_short_12: MY7KOO3F2KWE · pith_short_16: MY7KOO3F2KWE2PBA · pith_short_8: MY7KOO3F

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/MY7KOO3F2KWE2PBAP5NWVE3JSS \
  | 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: 663ea73b65d2ac4d3c207f5b6a936994ad8d050cf6eed980d1b7239fbbde6d02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d64b168a794e2008cb82e4d2cd2a90d022ddfeb434fa5945aac5589b6d98e9f6",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-11-11T00:37:34Z",
    "title_canon_sha256": "a859f711e5a007b5b02d9c7efb70e8a92cf73629b5f3b2ca8fbde0d082fac996"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2672",
    "kind": "arxiv",
    "version": 2
  }
}