Pith Number

pith:DO2YRTFU

pith:2016:DO2YRTFUUU7PIGE2MAKQGIOGUK

not attested not anchored not stored refs pending

Limit Theorems for the Sum of Persistence Barcodes

Takashi Owada

arxiv:1604.04058 v1 · 2016-04-14 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DO2YRTFUUU7PIGE2MAKQGIOGUK}

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	2026-05-18T01:17:06.808769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bb588ccb4a53ef4189a60150321c6a2ae3e6ccc346e4f9ad2b35fc238cb2142

Aliases

arxiv: 1604.04058 · arxiv_version: 1604.04058v1 · doi: 10.48550/arxiv.1604.04058 · pith_short_12: DO2YRTFUUU7P · pith_short_16: DO2YRTFUUU7PIGE2 · pith_short_8: DO2YRTFU

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/DO2YRTFUUU7PIGE2MAKQGIOGUK \
  | 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: 1bb588ccb4a53ef4189a60150321c6a2ae3e6ccc346e4f9ad2b35fc238cb2142

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f80642301793be5b46a933157ea00bbd92b6eee335fb970c4a91704d14ffa82e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-14T07:39:05Z",
    "title_canon_sha256": "e78310baa45c8ad818ae62dada1e3bc827038de5d8cd16b3bf133646f85a8833"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04058",
    "kind": "arxiv",
    "version": 1
  }
}