Pith Number

pith:B23OLOTP

pith:2016:B23OLOTP73NH75XYPTOO6NGSES

not attested not anchored not stored refs pending

Limit theorems for persistence diagrams

Tomoyuki Shirai, Trinh Khanh Duy, Yasuaki Hiraoka

arxiv:1612.08371 v1 · 2016-12-26 · math.PR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B23OLOTP73NH75XYPTOO6NGSES}

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	2026-05-18T00:53:56.808107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eb6e5ba6ffeda7ff6f87cdcef34d2249ae4ba8ae8e3eebd36e50f63df21d412

Aliases

arxiv: 1612.08371 · arxiv_version: 1612.08371v1 · doi: 10.48550/arxiv.1612.08371 · pith_short_12: B23OLOTP73NH · pith_short_16: B23OLOTP73NH75XY · pith_short_8: B23OLOTP

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/B23OLOTP73NH75XYPTOO6NGSES \
  | 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: 0eb6e5ba6ffeda7ff6f87cdcef34d2249ae4ba8ae8e3eebd36e50f63df21d412

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0cc1df4f6620e1d7d33b86ac49336b96b45dce8abe1367d1ba38ff195f9bb8a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-26T12:41:32Z",
    "title_canon_sha256": "b41c86d84849ec0a7421f1a5a11c65f4daa369b3d1fde7b3df63c12ed7a6cadc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08371",
    "kind": "arxiv",
    "version": 1
  }
}