Pith Number

pith:2MM3K2TY

pith:2021:2MM3K2TYZ357H54BCJUYIZY32M

not attested not anchored not stored refs pending

Optimal gradient estimates of solutions to the insulated conductivity problem in dimension greater than two

Hongjie Dong, Yanyan Li, Zhuolun Yang

arxiv:2110.11313 v3 · 2021-10-21 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MM3K2TYZ357H54BCJUYIZY32M}

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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.

Cited by

2 papers in Pith

Optimal gradient estimates for the insulated conductivity problem with dimensions more than two

A simple proof for the insulated conductivity problem and application to flat boundaries

Receipt and verification

First computed	2026-07-05T03:59:41.576707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d319b56a78cefbf3f781126984671bd329dd07e66b3cc39c30b4d08cc323b4bc

Aliases

arxiv: 2110.11313 · arxiv_version: 2110.11313v3 · doi: 10.48550/arxiv.2110.11313 · pith_short_12: 2MM3K2TYZ357 · pith_short_16: 2MM3K2TYZ357H54B · pith_short_8: 2MM3K2TY

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/2MM3K2TYZ357H54BCJUYIZY32M \
  | 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: d319b56a78cefbf3f781126984671bd329dd07e66b3cc39c30b4d08cc323b4bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b887ec19285f56ecb1755e6d35142b40c0d823cff10720af976f3ec45e639cd4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-10-21T17:46:07Z",
    "title_canon_sha256": "129d543f3ccdce6dc5decd021d33481775852964e76292427e01d9471ff322ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.11313",
    "kind": "arxiv",
    "version": 3
  }
}