Pith Number

pith:OTQ43VXJ

pith:2019:OTQ43VXJ6XNK46SZMSVO7T7HNW

not attested not anchored not stored refs pending

Upper bounds for higher-order Poincar'e constants

Kei Funano, Yohei Sakurai

arxiv:1907.03617 v3 · 2019-07-08 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTQ43VXJ6XNK46SZMSVO7T7HNW}

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	2026-07-05T00:19:20.978472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74e1cdd6e9f5daae7a5964aaefcfe76da737fbd1e6296e4bbec54e5a1bbf8e6f

Aliases

arxiv: 1907.03617 · arxiv_version: 1907.03617v3 · doi: 10.48550/arxiv.1907.03617 · pith_short_12: OTQ43VXJ6XNK · pith_short_16: OTQ43VXJ6XNK46SZ · pith_short_8: OTQ43VXJ

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/OTQ43VXJ6XNK46SZMSVO7T7HNW \
  | 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: 74e1cdd6e9f5daae7a5964aaefcfe76da737fbd1e6296e4bbec54e5a1bbf8e6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2754adbbd57579bf2a5635da97ba3c88deb399e2c8d1bfe7fefd8bcc018a383e",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-07-08T13:50:46Z",
    "title_canon_sha256": "247f8f942dd180812a8bdc308cb19eda58ed58622fef73c1eaa750c0c465dbf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03617",
    "kind": "arxiv",
    "version": 3
  }
}