Pith Number

pith:7DGCH4JD

pith:2012:7DGCH4JDB24WN5BLRBIC355BRR

not attested not anchored not stored refs pending

On weighted Poincar\'e inequalities

Bart{\l}omiej Dyda, Moritz Kassmann

arxiv:1209.3125 v3 · 2012-09-14 · math.AP · 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{7DGCH4JDB24WN5BLRBIC355BRR}

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	2026-05-18T03:34:16.065558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8cc23f1230eb966f42b88502df7a18c75e3b3610da7e554c40c58574352e443

Aliases

arxiv: 1209.3125 · arxiv_version: 1209.3125v3 · doi: 10.48550/arxiv.1209.3125 · pith_short_12: 7DGCH4JDB24W · pith_short_16: 7DGCH4JDB24WN5BL · pith_short_8: 7DGCH4JD

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/7DGCH4JDB24WN5BLRBIC355BRR \
  | 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: f8cc23f1230eb966f42b88502df7a18c75e3b3610da7e554c40c58574352e443

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98f0d7d951ea25ec34e261022c748bffb1588ade00701f3856ec1d842eea11a5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-14T08:39:38Z",
    "title_canon_sha256": "10773d0c52df51be35b4e59dd05b193eeeb01c17c25cc93a511ec911615d0db0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3125",
    "kind": "arxiv",
    "version": 3
  }
}