Pith Number

pith:G7LOETA3

pith:2016:G7LOETA3ICKTVVKNRYF7YPNQFJ

not attested not anchored not stored refs pending

Gradient estimates for some $f$-heat equations driven by Lichnerowicz's equation on complete smooth metric measure spaces

Nguyen Ngoc Khanh, Nguyen Thac Dung, Qu\^oc Anh Ng\^o

arxiv:1610.03199 v2 · 2016-10-11 · 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{G7LOETA3ICKTVVKNRYF7YPNQFJ}

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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	2026-05-18T00:06:51.514883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37d6e24c1b40953ad54d8e0bfc3db02a60520dfaf22d165f32fb79d024ce6955

Aliases

arxiv: 1610.03199 · arxiv_version: 1610.03199v2 · doi: 10.48550/arxiv.1610.03199 · pith_short_12: G7LOETA3ICKT · pith_short_16: G7LOETA3ICKTVVKN · pith_short_8: G7LOETA3

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/G7LOETA3ICKTVVKNRYF7YPNQFJ \
  | 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: 37d6e24c1b40953ad54d8e0bfc3db02a60520dfaf22d165f32fb79d024ce6955

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f81606e15f7f4b2091aa72b1ff7d303e5c2b219b1a4010b6df291839e797ec0",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-10-11T05:51:28Z",
    "title_canon_sha256": "cb8f30a149eefda56113dac39a773093d0de89e500c5fc4749ceb923883b5420"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03199",
    "kind": "arxiv",
    "version": 2
  }
}