Pith Number

pith:KO7TBHNY

pith:2009:KO7TBHNYMASSKV5NOPHOABEKG5

not attested not anchored not stored refs pending

A Concrete Estimate For The Weak Poincare Inequality On Loop Space

Bo Wu, Xin Chen, Xue-Mei Li

arxiv:0910.4846 v1 · 2009-10-26 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KO7TBHNYMASSKV5NOPHOABEKG5}

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	2026-05-18T01:15:32.852965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53bf309db860252557ad73cee0048a3772c512eac31e51df8188834066b621c0

Aliases

arxiv: 0910.4846 · arxiv_version: 0910.4846v1 · doi: 10.48550/arxiv.0910.4846 · pith_short_12: KO7TBHNYMASS · pith_short_16: KO7TBHNYMASSKV5N · pith_short_8: KO7TBHNY

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/KO7TBHNYMASSKV5NOPHOABEKG5 \
  | 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: 53bf309db860252557ad73cee0048a3772c512eac31e51df8188834066b621c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d3450f0ae3cf22de47b63da2f6e511cdc8c9297a2112aab7e104434d818aec8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-26T12:26:57Z",
    "title_canon_sha256": "f3d68a42a16d882288a0f3062b79cef50921fa71fce0a8ecff50a2942b6ecff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4846",
    "kind": "arxiv",
    "version": 1
  }
}