Pith Number

pith:5WQYGE77

pith:2015:5WQYGE77QJED4A65THY6IZU5MG

not attested not anchored not stored refs pending

Uniqueness of absolute minimizers for $L^\fz$-functionals involving Hamiltonians $H(x,p)$

Changyou Wang, Qianyun Miao, Yuan Zhou

arxiv:1509.04371 v1 · 2015-09-15 · 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{5WQYGE77QJED4A65THY6IZU5MG}

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	2026-05-18T01:04:22.542447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eda18313ff82483e03dd99f1e4669d61b038cd29947dc8d4c65ef4bc22a630f1

Aliases

arxiv: 1509.04371 · arxiv_version: 1509.04371v1 · doi: 10.48550/arxiv.1509.04371 · pith_short_12: 5WQYGE77QJED · pith_short_16: 5WQYGE77QJED4A65 · pith_short_8: 5WQYGE77

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/5WQYGE77QJED4A65THY6IZU5MG \
  | 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: eda18313ff82483e03dd99f1e4669d61b038cd29947dc8d4c65ef4bc22a630f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f9dd104c810d890782f8a7c6bb0daecfd8615f9d3058352668b5afc7549e32d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-15T01:37:50Z",
    "title_canon_sha256": "0e3891fe96b40b252763151d9559a36d564ea94cd424e7b519639018c7755034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04371",
    "kind": "arxiv",
    "version": 1
  }
}