Pith Number

pith:5AN2YKAO

pith:2014:5AN2YKAOANL5KAEAKSYCNN6R4N

not attested not anchored not stored refs pending

Resonance identities and stability of symmetric closed characteristics on symmetric compact star-shaped hypersurfaces

Hui Liu, Yiming Long

arxiv:1405.5739 v2 · 2014-05-22 · math.DS · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AN2YKAOANL5KAEAKSYCNN6R4N}

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	2026-05-18T01:34:51.009210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e81bac280e0357d5008054b026b7d1e366c0c2bf9584398b265734fec2af8134

Aliases

arxiv: 1405.5739 · arxiv_version: 1405.5739v2 · doi: 10.48550/arxiv.1405.5739 · pith_short_12: 5AN2YKAOANL5 · pith_short_16: 5AN2YKAOANL5KAEA · pith_short_8: 5AN2YKAO

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/5AN2YKAOANL5KAEAKSYCNN6R4N \
  | 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: e81bac280e0357d5008054b026b7d1e366c0c2bf9584398b265734fec2af8134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1321181bf82db85a0a8fd5c425abe2492fa136de82ee3b30f1ed2c93119bf15c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-05-22T13:08:36Z",
    "title_canon_sha256": "7bdd73863c4686972115ee704b7475d8e3123a9a214c2286820557750ff70fc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5739",
    "kind": "arxiv",
    "version": 2
  }
}