Pith Number

pith:CJFWNDVB

pith:2024:CJFWNDVBWNFUVJQDBAWFVQLE6Z

not attested not anchored not stored refs pending

Martingale and analytic dimensions coincide under Gaussian heat kernel bounds

Mathav Murugan

arxiv:2412.06737 v2 · 2024-12-09 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJFWNDVBWNFUVJQDBAWFVQLE6Z}

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	2026-07-05T11:54:42.923966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

124b668ea1b34b4aa603082c5ac164f6591de4f2a0384771514ad8f40477e271

Aliases

arxiv: 2412.06737 · arxiv_version: 2412.06737v2 · doi: 10.48550/arxiv.2412.06737 · pith_short_12: CJFWNDVBWNFU · pith_short_16: CJFWNDVBWNFUVJQD · pith_short_8: CJFWNDVB

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/CJFWNDVBWNFUVJQDBAWFVQLE6Z \
  | 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: 124b668ea1b34b4aa603082c5ac164f6591de4f2a0384771514ad8f40477e271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8994072cc7443f1968ccd0a3f4be5a7298b671bf4214d3706cc231222a54b84",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-09T18:26:26Z",
    "title_canon_sha256": "6ae029bd165df55407d81952f9d93855e40aa296c7ae12bd34e9f6e3b0139f31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.06737",
    "kind": "arxiv",
    "version": 2
  }
}