Pith Number

pith:HFEBM2DI

pith:2014:HFEBM2DIHM3GTETGOARFLM5DML

not attested not anchored not stored refs pending

Harnack Inequalities for Degenerate Diffusions

Camelia A. Pop, Charles L. Epstein

arxiv:1406.4759 v1 · 2014-06-18 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFEBM2DIHM3GTETGOARFLM5DML}

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	2026-05-18T02:49:30.823471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39481668683b36699266702255b3a362f6f92764cc9838407b67e5b2dae0f62e

Aliases

arxiv: 1406.4759 · arxiv_version: 1406.4759v1 · doi: 10.48550/arxiv.1406.4759 · pith_short_12: HFEBM2DIHM3G · pith_short_16: HFEBM2DIHM3GTETG · pith_short_8: HFEBM2DI

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/HFEBM2DIHM3GTETGOARFLM5DML \
  | 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: 39481668683b36699266702255b3a362f6f92764cc9838407b67e5b2dae0f62e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51cf250ace547f732662f491825a434db11bd7d8b3ffbc16e641a25f9815f87c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-18T15:10:36Z",
    "title_canon_sha256": "c0a526b634148ddeb494a75ede35c91246ad1f00c81e2eb00800f85980465777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4759",
    "kind": "arxiv",
    "version": 1
  }
}