Pith Number

pith:Q3G6GMY5

pith:2016:Q3G6GMY5DYXPZVFJFRYVQGJBZX

not attested not anchored not stored refs pending

Heat kernel upper bound on Riemannian manifolds with locally uniform Ricci curvature integral bounds

Christian Rose

arxiv:1601.07438 v2 · 2016-01-27 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3G6GMY5DYXPZVFJFRYVQGJBZX}

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	2026-05-18T01:12:01.517595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86cde3331d1e2efcd4a92c71581921cdcf419e0c2b89aa2405a0c63dd3ec7ea1

Aliases

arxiv: 1601.07438 · arxiv_version: 1601.07438v2 · doi: 10.48550/arxiv.1601.07438 · pith_short_12: Q3G6GMY5DYXP · pith_short_16: Q3G6GMY5DYXPZVFJ · pith_short_8: Q3G6GMY5

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/Q3G6GMY5DYXPZVFJFRYVQGJBZX \
  | 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: 86cde3331d1e2efcd4a92c71581921cdcf419e0c2b89aa2405a0c63dd3ec7ea1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d82030b2f397a58bd49daa33921d4fa610f95803d6f8bac14bac0dd190872ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-27T16:38:27Z",
    "title_canon_sha256": "fe448a5eb96aa54bdf47b5ea7ab1fcc1764f0f74b4ea27ce43d14ab3e2cfcd73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07438",
    "kind": "arxiv",
    "version": 2
  }
}