Pith Number

pith:JL6EOIMI

pith:2010:JL6EOIMIW3D4JOOGLWUCWWPZJO

not attested not anchored not stored refs pending

Heat Kernels, Smoothness Estimates and Exponential Decay

Albert Boggess, Andrew Raich

arxiv:1004.0193 v1 · 2010-04-01 · math.CV · 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{JL6EOIMIW3D4JOOGLWUCWWPZJO}

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	2026-05-18T02:49:03.553572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4afc472188b6c7c4b9c65da82b59f94bb8ed046184a45ad59762c8edb9bd76a6

Aliases

arxiv: 1004.0193 · arxiv_version: 1004.0193v1 · doi: 10.48550/arxiv.1004.0193 · pith_short_12: JL6EOIMIW3D4 · pith_short_16: JL6EOIMIW3D4JOOG · pith_short_8: JL6EOIMI

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/JL6EOIMIW3D4JOOGLWUCWWPZJO \
  | 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: 4afc472188b6c7c4b9c65da82b59f94bb8ed046184a45ad59762c8edb9bd76a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f81a39cee45abad28c455f3da15772dff52044e8f559b3f3f320378c721d81b3",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-04-01T18:03:27Z",
    "title_canon_sha256": "758b95feaf72705d6bd4dde490b38479934800a67f4220dedec393c4229bae48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0193",
    "kind": "arxiv",
    "version": 1
  }
}