Pith Number

pith:ZOA3A2V4

pith:2017:ZOA3A2V46QQV6XNETOZUE2DRKA

not attested not anchored not stored refs pending

Lipschitz homotopy convergence of Alexandrov spaces

Ayato Mitsuishi, Takao Yamaguchi

arxiv:1704.08789 v2 · 2017-04-28 · 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{ZOA3A2V46QQV6XNETOZUE2DRKA}

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	2026-05-18T00:09:10.079775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb81b06abcf4215f5da49bb34268715000188f1a531b27d82fdad1d3cab023c5

Aliases

arxiv: 1704.08789 · arxiv_version: 1704.08789v2 · doi: 10.48550/arxiv.1704.08789 · pith_short_12: ZOA3A2V46QQV · pith_short_16: ZOA3A2V46QQV6XNE · pith_short_8: ZOA3A2V4

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/ZOA3A2V46QQV6XNETOZUE2DRKA \
  | 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: cb81b06abcf4215f5da49bb34268715000188f1a531b27d82fdad1d3cab023c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "549956027a79cdbcf08f6a698617f5351b5761a57bee630856b42c0fd55521fa",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-04-28T02:01:09Z",
    "title_canon_sha256": "df4e0081f75002145c423316d3f645c204013553eb602a7ea8e3da6ac1863572"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08789",
    "kind": "arxiv",
    "version": 2
  }
}