Pith Number

pith:GF3JDHZD

pith:2023:GF3JDHZDPM4PD6RS5HQXDC3KAD

not attested not anchored not stored refs pending

Heat kernel for reflected diffusion and extension property on uniform domains

Mathav Murugan

arxiv:2304.03908 v3 · 2023-04-08 · math.PR · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GF3JDHZDPM4PD6RS5HQXDC3KAD}

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	2026-07-05T07:37:49.050153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3176919f237b38f1fa32e9e1718b6a00cdf37df41b664bcc22005e46d6cd438b

Aliases

arxiv: 2304.03908 · arxiv_version: 2304.03908v3 · doi: 10.48550/arxiv.2304.03908 · pith_short_12: GF3JDHZDPM4P · pith_short_16: GF3JDHZDPM4PD6RS · pith_short_8: GF3JDHZD

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/GF3JDHZDPM4PD6RS5HQXDC3KAD \
  | 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: 3176919f237b38f1fa32e9e1718b6a00cdf37df41b664bcc22005e46d6cd438b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a69cdcc544f056f48d17595a1334b08d7d7c986cff7dc5c2a85285c03ac909e1",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-04-08T04:31:58Z",
    "title_canon_sha256": "be7d3733decb8d0ac26c7a5f469583fffb86a4225b641ca8ee2c579c249be8f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.03908",
    "kind": "arxiv",
    "version": 3
  }
}