Pith Number

pith:GTYMEIN3

pith:2018:GTYMEIN3CESPYBNSN26SU5EZUB

not attested not anchored not stored refs pending

Isoperimetric rigidity and distributions of 1-Lipschitz functions

Hiroki Nakajima, Takashi Shioya

arxiv:1801.01302 v1 · 2018-01-04 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTYMEIN3CESPYBNSN26SU5EZUB}

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	2026-05-18T00:26:42.509693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34f0c221bb1124fc05b26ebd2a7499a049829bcae221c372f83dd69cad14a020

Aliases

arxiv: 1801.01302 · arxiv_version: 1801.01302v1 · doi: 10.48550/arxiv.1801.01302 · pith_short_12: GTYMEIN3CESP · pith_short_16: GTYMEIN3CESPYBNS · pith_short_8: GTYMEIN3

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/GTYMEIN3CESPYBNSN26SU5EZUB \
  | 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: 34f0c221bb1124fc05b26ebd2a7499a049829bcae221c372f83dd69cad14a020

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43b5eb93454a1046d2e7671777e7d58cb02ef6f3eb6bbeeb3b64acfed0d8765b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-01-04T10:50:54Z",
    "title_canon_sha256": "c565eea9e85a018052c1e73546e65a213b609f9e2cbe2758e8cd10b0b211250f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01302",
    "kind": "arxiv",
    "version": 1
  }
}