Pith Number

pith:QRMWZDNK

pith:2016:QRMWZDNKIVPATNHV5F3BLXEH4W

not attested not anchored not stored refs pending

Multiplicity and ellipticity of closed characteristics on compact star-shaped hypersurfaces in ${\bf R}^{2n}$

Huagui Duan, Hui Liu

arxiv:1601.03470 v1 · 2016-01-14 · math.SG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QRMWZDNKIVPATNHV5F3BLXEH4W}

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	2026-05-18T01:22:53.397249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84596c8daa455e09b4f5e97615dc87e5b05f22ebb55cb0a681a8fae4ef3ecb67

Aliases

arxiv: 1601.03470 · arxiv_version: 1601.03470v1 · doi: 10.48550/arxiv.1601.03470 · pith_short_12: QRMWZDNKIVPA · pith_short_16: QRMWZDNKIVPATNHV · pith_short_8: QRMWZDNK

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/QRMWZDNKIVPATNHV5F3BLXEH4W \
  | 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: 84596c8daa455e09b4f5e97615dc87e5b05f22ebb55cb0a681a8fae4ef3ecb67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97f5b1e6c4e476b13ad1b583c4d8ab72e285ac039ead0dd6ef3c033ea4da8bd9",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-01-14T02:53:55Z",
    "title_canon_sha256": "a316bf7fc6cd65924efbe31c54993c7b928e92e7ed7efe5ad188a54ffba35ec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03470",
    "kind": "arxiv",
    "version": 1
  }
}