Pith Number

pith:4ZSHORMQ

pith:2014:4ZSHORMQI3YNX7NL6WSJKBMTZV

not attested not anchored not stored refs pending

$L_1$-estimates for eigenfunctions and heat kernel estimates for semigroups dominated by the free heat semigroup

Hendrik Vogt

arxiv:1410.1816 v2 · 2014-10-07 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZSHORMQI3YNX7NL6WSJKBMTZV}

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	2026-05-18T01:55:33.524596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e66477459046f0dbfdabf5a4950593cd765044d24c1b2a075ebb637dd9f266fb

Aliases

arxiv: 1410.1816 · arxiv_version: 1410.1816v2 · doi: 10.48550/arxiv.1410.1816 · pith_short_12: 4ZSHORMQI3YN · pith_short_16: 4ZSHORMQI3YNX7NL · pith_short_8: 4ZSHORMQ

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/4ZSHORMQI3YNX7NL6WSJKBMTZV \
  | 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: e66477459046f0dbfdabf5a4950593cd765044d24c1b2a075ebb637dd9f266fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67ec3e5b0e93d4ffa4ad652b9b3813b5e313ef0afd8d13155bcbf344da1baf0e",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-07T17:48:05Z",
    "title_canon_sha256": "88cff8e085127b9a30feb94640487d0ede2bb5b95e4ce14ee998961d4c93c874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1816",
    "kind": "arxiv",
    "version": 2
  }
}