Pith Number

pith:JKIO53IA

pith:2016:JKIO53IANPZXQE34LDN5GJO544

not attested not anchored not stored refs pending

Harnack inequalities and Bounds for Densities of Stochastic Processes

Gennaro Cibelli, Sergio Polidoro

arxiv:1610.08792 v2 · 2016-10-27 · 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{JKIO53IANPZXQE34LDN5GJO544}

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	2026-05-18T00:51:30.100034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a90eeed006bf378137c58dbd325dde732fe5f8a44de2f318366440f7b7644d8

Aliases

arxiv: 1610.08792 · arxiv_version: 1610.08792v2 · doi: 10.48550/arxiv.1610.08792 · pith_short_12: JKIO53IANPZX · pith_short_16: JKIO53IANPZXQE34 · pith_short_8: JKIO53IA

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/JKIO53IANPZXQE34LDN5GJO544 \
  | 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: 4a90eeed006bf378137c58dbd325dde732fe5f8a44de2f318366440f7b7644d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6afd5b53bf5a7e05680205add29bf114ba00648b196f84e72d5749485ad6906",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-27T14:17:13Z",
    "title_canon_sha256": "f005030a7e9728654626c25ba8057488c46e5e50211bf442f95cda3a78a81e77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08792",
    "kind": "arxiv",
    "version": 2
  }
}