Pith Number

pith:ITULJISV

pith:2009:ITULJISV6EDR4DHRCSKHT4VA4M

not attested not anchored not stored refs pending

A Poincar\'e Inequality on Loop Spaces

Bo Wu, Xin Chen, Xue-Mei Li

arxiv:0905.3007 v1 · 2009-05-19 · 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{ITULJISV6EDR4DHRCSKHT4VA4M}

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	2026-05-18T01:15:32.869372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44e8b4a255f1071e0cf1149479f2a0e3141fc3d9072944308e144138851bfde7

Aliases

arxiv: 0905.3007 · arxiv_version: 0905.3007v1 · doi: 10.48550/arxiv.0905.3007 · pith_short_12: ITULJISV6EDR · pith_short_16: ITULJISV6EDR4DHR · pith_short_8: ITULJISV

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/ITULJISV6EDR4DHRCSKHT4VA4M \
  | 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: 44e8b4a255f1071e0cf1149479f2a0e3141fc3d9072944308e144138851bfde7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61d84c088d9bfcf7cc80bc906ee3d7a3b6d76cbaba298734134720a0fe319f21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-05-19T00:03:43Z",
    "title_canon_sha256": "0359b8ef472c239b6fe0f50cac9e54be00e63072747e4d36ce572d08c913a807"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3007",
    "kind": "arxiv",
    "version": 1
  }
}