Pith Number

pith:BPA6FYTO

pith:2011:BPA6FYTOUN4QIZ6465CZD6KHVV

not attested not anchored not stored refs pending

Poincar\'e and plancherel-polya inequalities in harmonic analysis on weighted combinatorial graphs

Hartmut F"uhr, Isaac Z. Pesenson

arxiv:1108.5637 v3 · 2011-08-29 · 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{BPA6FYTOUN4QIZ6465CZD6KHVV}

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	2026-05-18T02:57:00.273714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bc1e2e26ea3790467dcf74591f947ad7d7c2a3dab220c34552bcad39aa760cd

Aliases

arxiv: 1108.5637 · arxiv_version: 1108.5637v3 · doi: 10.48550/arxiv.1108.5637 · pith_short_12: BPA6FYTOUN4Q · pith_short_16: BPA6FYTOUN4QIZ64 · pith_short_8: BPA6FYTO

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/BPA6FYTOUN4QIZ6465CZD6KHVV \
  | 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: 0bc1e2e26ea3790467dcf74591f947ad7d7c2a3dab220c34552bcad39aa760cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2755c5599a9851e468aba64adf3c254c2c214d4ba293a3f6765b3b11e330592b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-08-29T16:32:06Z",
    "title_canon_sha256": "fcd78710e160308331eb5963411f9af8e2577c473442fea31e0a948387e4f5e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5637",
    "kind": "arxiv",
    "version": 3
  }
}