Pith Number

pith:US66VK7Y

pith:2014:US66VK7YFMMPNBC5TDHM7FRQXA

not attested not anchored not stored refs pending

Limit formulas for metric measure invariants and phase transition property

Ryunosuke Ozawa, Takashi Shioya

arxiv:1402.6831 v1 · 2014-02-27 · 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{US66VK7YFMMPNBC5TDHM7FRQXA}

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	2026-05-18T02:57:36.870579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4bdeaabf82b18f6845d98cecf9630b804a745dd4cd96e0a9051a09af08e3cb4

Aliases

arxiv: 1402.6831 · arxiv_version: 1402.6831v1 · doi: 10.48550/arxiv.1402.6831 · pith_short_12: US66VK7YFMMP · pith_short_16: US66VK7YFMMPNBC5 · pith_short_8: US66VK7Y

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/US66VK7YFMMPNBC5TDHM7FRQXA \
  | 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: a4bdeaabf82b18f6845d98cecf9630b804a745dd4cd96e0a9051a09af08e3cb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fc3b397c5f5717d1de79df280c670d675038c010ef6cbbd6151aeb75754ee1f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-02-27T09:05:17Z",
    "title_canon_sha256": "b714a47beeded100ed65c1bc21ee2ad06ad6e128b03f6a30ef4736b1d893f92f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6831",
    "kind": "arxiv",
    "version": 1
  }
}