Pith Number

pith:KSKYOLXW

pith:2020:KSKYOLXW7CQWPJPTMCNJWKOGHK

not attested not anchored not stored refs pending

Gaussian upper bounds for the heat kernel on evolving manifolds

Louis Yudowitz, Reto Buzano

arxiv:2007.07112 v1 · 2020-07-14 · math.DG · 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{KSKYOLXW7CQWPJPTMCNJWKOGHK}

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	2026-06-08T01:04:58.024752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5495872ef6f8a167a5f3609a9b29c63a96d4fe13039cd06dcf480c0b769d759b

Aliases

arxiv: 2007.07112 · arxiv_version: 2007.07112v1 · doi: 10.48550/arxiv.2007.07112 · pith_short_12: KSKYOLXW7CQW · pith_short_16: KSKYOLXW7CQWPJPT · pith_short_8: KSKYOLXW

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/KSKYOLXW7CQWPJPTMCNJWKOGHK \
  | 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: 5495872ef6f8a167a5f3609a9b29c63a96d4fe13039cd06dcf480c0b769d759b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "592ba80e403534f3af9d14710f528dac6d03fa3235cdf0706cf6fae74921d03b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-07-14T15:29:39Z",
    "title_canon_sha256": "46689711659092a1b1c76084b303317cc9c5e8e95e513bf32678879cfe96d39a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.07112",
    "kind": "arxiv",
    "version": 1
  }
}