Pith Number

pith:7E5EDF3M

pith:2017:7E5EDF3MFJL56444VQDBWFLAIL

not attested not anchored not stored refs pending

Concentration of $1$-Lipschitz functions on manifolds with boundary with Dirichlet boundary condition

Yohei Sakurai

arxiv:1712.04212 v4 · 2017-12-12 · 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{7E5EDF3MFJL56444VQDBWFLAIL}

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	2026-05-18T00:08:00.696958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f93a41976c2a57df739cac061b156042c92af67efddb8c9c1f78715f30e9173b

Aliases

arxiv: 1712.04212 · arxiv_version: 1712.04212v4 · doi: 10.48550/arxiv.1712.04212 · pith_short_12: 7E5EDF3MFJL5 · pith_short_16: 7E5EDF3MFJL56444 · pith_short_8: 7E5EDF3M

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/7E5EDF3MFJL56444VQDBWFLAIL \
  | 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: f93a41976c2a57df739cac061b156042c92af67efddb8c9c1f78715f30e9173b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b41f3ba916ade81f8f497cf879667b32b1384097381b8121197bc35f0d00b12e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-12-12T10:24:41Z",
    "title_canon_sha256": "43a58d1fb193f95ccacff41d3f05671fe9ff3da3eecdbe96072abbd2b23b0b31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04212",
    "kind": "arxiv",
    "version": 4
  }
}