Pith Number

pith:D6HUH6LI

pith:2012:D6HUH6LIRFELIWGOPOHLI65LEM

not attested not anchored not stored refs pending

Global uniform boundary Harnack principle with explicit decay rate and its application

Panki Kim, Renming Song, Zoran Vondra\v{c}ek

arxiv:1212.3092 v2 · 2012-12-13 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6HUH6LIRFELIWGOPOHLI65LEM}

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	2026-05-18T03:18:31.375125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f8f43f9688948b458ce7b8eb47bab2333cd45bcefbccd555e4ba0b5151e0627

Aliases

arxiv: 1212.3092 · arxiv_version: 1212.3092v2 · doi: 10.48550/arxiv.1212.3092 · pith_short_12: D6HUH6LIRFEL · pith_short_16: D6HUH6LIRFELIWGO · pith_short_8: D6HUH6LI

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/D6HUH6LIRFELIWGOPOHLI65LEM \
  | 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: 1f8f43f9688948b458ce7b8eb47bab2333cd45bcefbccd555e4ba0b5151e0627

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fb3ed2b77c5faf244889053cbc928f91c1fbe94c1a6dcaf22b1bd0610a27741",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-13T09:09:31Z",
    "title_canon_sha256": "129bae26a20a535ee99da323cdd00c1b949c23793175ed5402692f6b2359cd55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3092",
    "kind": "arxiv",
    "version": 2
  }
}