Pith Number

pith:5LYZQ6WR

pith:2015:5LYZQ6WRJOVVYSKRV7WDRIXJOK

not attested not anchored not stored refs pending

A Poincar\'{e}-type inequality and a related eigenvalue problem

Nan Ye, Xiang Ma

arxiv:1512.08227 v1 · 2015-12-27 · 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{5LYZQ6WRJOVVYSKRV7WDRIXJOK}

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	2026-05-18T01:23:42.886293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaf1987ad14bab5c4951afec38a2e9728dcb00befe3f2ec3c15dda333c054811

Aliases

arxiv: 1512.08227 · arxiv_version: 1512.08227v1 · doi: 10.48550/arxiv.1512.08227 · pith_short_12: 5LYZQ6WRJOVV · pith_short_16: 5LYZQ6WRJOVVYSKR · pith_short_8: 5LYZQ6WR

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/5LYZQ6WRJOVVYSKRV7WDRIXJOK \
  | 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: eaf1987ad14bab5c4951afec38a2e9728dcb00befe3f2ec3c15dda333c054811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26af45d3f83680e4472ac188d16c3691f9a014eb4f9e8adc8528d7854de1ddf3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-27T14:33:19Z",
    "title_canon_sha256": "86316a1bcad502be888e6eeae6e651a5eedcf0a20708dd6eb686f5235f164a96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08227",
    "kind": "arxiv",
    "version": 1
  }
}