Pith Number

pith:AYWF3BIJ

pith:2025:AYWF3BIJCCP2KLSKGVFH2XMGYR

not attested not anchored not stored refs pending

Stable characterization of diagonal heat kernel upper bounds for symmetric Dirichlet forms

Soobin Cho

arxiv:2501.06866 v1 · 2025-01-12 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYWF3BIJCCP2KLSKGVFH2XMGYR}

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	2026-07-05T10:00:11.421526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

062c5d8509109fa52e4a354a7d5d86c4590096b9423775fc4a06469111141631

Aliases

arxiv: 2501.06866 · arxiv_version: 2501.06866v1 · doi: 10.48550/arxiv.2501.06866 · pith_short_12: AYWF3BIJCCP2 · pith_short_16: AYWF3BIJCCP2KLSK · pith_short_8: AYWF3BIJ

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/AYWF3BIJCCP2KLSKGVFH2XMGYR \
  | 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: 062c5d8509109fa52e4a354a7d5d86c4590096b9423775fc4a06469111141631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0274904189b09108c699ade6f39789f209d46e2a3553eb20018c5fbf71a23e6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-12T16:29:49Z",
    "title_canon_sha256": "25d6d6510490d48976909da74a8c2e60304f93263e849c033692d4db58a77aa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06866",
    "kind": "arxiv",
    "version": 1
  }
}