Pith Number

pith:2Q4AGSB2

pith:2013:2Q4AGSB2IFWZFNUKPSE5L4JAZH

not attested not anchored not stored refs pending

A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces

Adam Sikora, Salahaddine Boutayeb, Thierry Coulhon

arxiv:1311.0367 v2 · 2013-11-02 · 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{2Q4AGSB2IFWZFNUKPSE5L4JAZH}

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	2026-05-18T03:07:11.948085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d43803483a416d92b68a7c89d5f120c9f9298e212ba4689a61a74637b47f8e0f

Aliases

arxiv: 1311.0367 · arxiv_version: 1311.0367v2 · doi: 10.48550/arxiv.1311.0367 · pith_short_12: 2Q4AGSB2IFWZ · pith_short_16: 2Q4AGSB2IFWZFNUK · pith_short_8: 2Q4AGSB2

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/2Q4AGSB2IFWZFNUKPSE5L4JAZH \
  | 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: d43803483a416d92b68a7c89d5f120c9f9298e212ba4689a61a74637b47f8e0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c6f30caf8c657dd7f7cfdc349ee0039828cb01f94db457195238e459e628c08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-02T11:38:43Z",
    "title_canon_sha256": "ccddfb37c0b0616c44efb45c8b1e3b00bb811d48525ad7a5fcd2d5da35fbfa0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0367",
    "kind": "arxiv",
    "version": 2
  }
}