Pith Number

pith:4HDQZEB2

pith:2012:4HDQZEB26S63DFUCWB2U5PXHEJ

not attested not anchored not stored refs pending

Harnack inequalities in infinite dimensions

Maria Gordina, Richard F. Bass

arxiv:1209.1573 v3 · 2012-09-07 · math.PR · 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{4HDQZEB26S63DFUCWB2U5PXHEJ}

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	2026-05-18T03:44:59.889332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1c70c903af4bdb19682b0754ebee7226f172be05b962f587058333b7fb9519a

Aliases

arxiv: 1209.1573 · arxiv_version: 1209.1573v3 · doi: 10.48550/arxiv.1209.1573 · pith_short_12: 4HDQZEB26S63 · pith_short_16: 4HDQZEB26S63DFUC · pith_short_8: 4HDQZEB2

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/4HDQZEB26S63DFUCWB2U5PXHEJ \
  | 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: e1c70c903af4bdb19682b0754ebee7226f172be05b962f587058333b7fb9519a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e29cf350b47cd6f129fe91ccf63ccfb3083ccd8254a7425366fb0599d31028d3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-07T15:36:33Z",
    "title_canon_sha256": "d87ce950942bf94d1d78780d3d926e32ccff8e03374753aae1d01ee0a9a5421d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1573",
    "kind": "arxiv",
    "version": 3
  }
}