Pith Number

pith:VDMJYJN3

pith:2014:VDMJYJN3L7RBCNAZBC6ZZFCIPK

not attested not anchored not stored refs pending

The $16$th Hilbert problem on algebraic limit cycles

Zhang Xiang

arxiv:1407.7946 v1 · 2014-07-30 · math.CA · 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{VDMJYJN3L7RBCNAZBC6ZZFCIPK}

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	2026-05-18T02:46:14.020803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8d89c25bb5fe211341908bd9c94487ab554948b43e1efadce7d78adb3724205

Aliases

arxiv: 1407.7946 · arxiv_version: 1407.7946v1 · doi: 10.48550/arxiv.1407.7946 · pith_short_12: VDMJYJN3L7RB · pith_short_16: VDMJYJN3L7RBCNAZ · pith_short_8: VDMJYJN3

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/VDMJYJN3L7RBCNAZBC6ZZFCIPK \
  | 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: a8d89c25bb5fe211341908bd9c94487ab554948b43e1efadce7d78adb3724205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "624a03885b21592be4b631e70972249519fd05f512bdd71069809b16b4a0f8d3",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-07-30T05:21:54Z",
    "title_canon_sha256": "b43b9cb8aceef2a29f0e496b7b3db8af5288b5296fdbfe989099c456ed24c4aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7946",
    "kind": "arxiv",
    "version": 1
  }
}