Pith Number

pith:MNDHHH3Z

pith:2026:MNDHHH3ZPSXSDN7M2GVQWMRTUW

not attested not anchored not stored refs pending

The heat-kernel master field on $\mathbb{Z}^d$ at strong coupling

Thibaut Lemoine

arxiv:2606.28945 v1 · 2026-06-27 · math-ph · math.CO · math.MP · math.PR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNDHHH3ZPSXSDN7M2GVQWMRTUW}

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	2026-06-30T01:17:46.710128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6346739f797caf21b7ecd1ab0b3233a5ae3ea18440a5fc1a6a6a44f9194fbc14

Aliases

arxiv: 2606.28945 · arxiv_version: 2606.28945v1 · doi: 10.48550/arxiv.2606.28945 · pith_short_12: MNDHHH3ZPSXS · pith_short_16: MNDHHH3ZPSXSDN7M · pith_short_8: MNDHHH3Z

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/MNDHHH3ZPSXSDN7M2GVQWMRTUW \
  | 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: 6346739f797caf21b7ecd1ab0b3233a5ae3ea18440a5fc1a6a6a44f9194fbc14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee60bcb4e3acf6ffceb9eec6b2812c40eb2bddf42cfa2e359ba339fa996bd43c",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.PR",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-27T14:35:08Z",
    "title_canon_sha256": "f5c7a7368b7ab6c5fde8f2a8719df4d781d90222d86667c6b8e578f035887bc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28945",
    "kind": "arxiv",
    "version": 1
  }
}