Pith Number

pith:5QCIWAHA

pith:2015:5QCIWAHA4COL55YF6SDMUYNXK5

not attested not anchored not stored refs pending

Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in ${\bf R}^{2n}$

Huagui Duan, Hui Liu, Wei Wang, Yiming Long

arxiv:1510.08648 v2 · 2015-10-29 · 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{5QCIWAHA4COL55YF6SDMUYNXK5}

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	2026-05-18T01:28:13.634967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec048b00e0e09cbef705f486ca61b7574dc157be635d08eb92f832e991d0a9f3

Aliases

arxiv: 1510.08648 · arxiv_version: 1510.08648v2 · doi: 10.48550/arxiv.1510.08648 · pith_short_12: 5QCIWAHA4COL · pith_short_16: 5QCIWAHA4COL55YF · pith_short_8: 5QCIWAHA

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/5QCIWAHA4COL55YF6SDMUYNXK5 \
  | 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: ec048b00e0e09cbef705f486ca61b7574dc157be635d08eb92f832e991d0a9f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a4ef24700c47e980bbf4c02e640b5f86dff6c2c083929e0d820dd9222371846",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-10-29T11:18:35Z",
    "title_canon_sha256": "7b11bf4f2acbb4b77748cee272969891cb33d934f0ae16806fedffdbdf69ad48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08648",
    "kind": "arxiv",
    "version": 2
  }
}