Pith Number

pith:TBUB445Q

pith:2019:TBUB445QQC3YXFM5CZMJIZ7WAB

not attested not anchored not stored refs pending

Everywhere differentiability of absolute minimizers for locally strongly convex and concave Hamiltonian $H(p)\in C^0(\mathbb{R}^n)$ with $n\ge3$

Peng Fa, Qianyun Miao, Yuan Zhou

arxiv:1901.10174 v1 · 2019-01-29 · 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{TBUB445QQC3YXFM5CZMJIZ7WAB}

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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	2026-05-17T23:55:15.945625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98681e73b080b78b959d16589467f60057859613023c80188bc80672e9be67b5

Aliases

arxiv: 1901.10174 · arxiv_version: 1901.10174v1 · doi: 10.48550/arxiv.1901.10174 · pith_short_12: TBUB445QQC3Y · pith_short_16: TBUB445QQC3YXFM5 · pith_short_8: TBUB445Q

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/TBUB445QQC3YXFM5CZMJIZ7WAB \
  | 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: 98681e73b080b78b959d16589467f60057859613023c80188bc80672e9be67b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbc1f38de9aa5a9faf9f622e4b90eb6aba6651e71b7d2b89774749f260396c77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-29T08:43:56Z",
    "title_canon_sha256": "98dc94481743762682f58b619dd5c03dbba18d38deab68fc9fc44c2dd6fb5edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10174",
    "kind": "arxiv",
    "version": 1
  }
}