Pith Number

pith:BSETETG3

pith:2018:BSETETG3WWKVOQBUKAAGJ6CFA7

not attested not anchored not stored refs pending

Pointwise monotonicity of heat kernels

Albert Mas, \'Angel D. Mart\'inez, Diego Alonso-Or\'an, Fernando Chamizo

arxiv:1807.11072 v2 · 2018-07-29 · math.CA · 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{BSETETG3WWKVOQBUKAAGJ6CFA7}

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	2026-05-17T23:45:09.701479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c89324cdbb595574034500064f84507e8d3144ece579dfd348693fbb159bc61

Aliases

arxiv: 1807.11072 · arxiv_version: 1807.11072v2 · doi: 10.48550/arxiv.1807.11072 · pith_short_12: BSETETG3WWKV · pith_short_16: BSETETG3WWKVOQBU · pith_short_8: BSETETG3

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/BSETETG3WWKVOQBUKAAGJ6CFA7 \
  | 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: 0c89324cdbb595574034500064f84507e8d3144ece579dfd348693fbb159bc61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29b47f88fcb8f067b7a034cafac992cadd59fde84d71e144203d71b12d13ba95",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-07-29T15:31:23Z",
    "title_canon_sha256": "7c2b6bbd4b3f6154ea1c3229e3484d249a0c8badf20fb7a7a52a40298133d353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11072",
    "kind": "arxiv",
    "version": 2
  }
}