Pith Number

pith:ZXJHS5PR

pith:2022:ZXJHS5PRU7ZVNIUGULPFTAEYBN

not attested not anchored not stored refs pending

Generalized common index jump theorem with applications to closed characteristics on star-shaped hypersurfaces and beyond

Huagui Duan, Hui Liu, Wei Wang, Yiming Long

arxiv:2205.07082 v2 · 2022-05-14 · 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{ZXJHS5PRU7ZVNIUGULPFTAEYBN}

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	2026-07-05T07:47:53.669887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdd27975f1a7f356a286a2de5980980b57adc2a9ba19634b79172d4319f3e33b

Aliases

arxiv: 2205.07082 · arxiv_version: 2205.07082v2 · doi: 10.48550/arxiv.2205.07082 · pith_short_12: ZXJHS5PRU7ZV · pith_short_16: ZXJHS5PRU7ZVNIUG · pith_short_8: ZXJHS5PR

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/ZXJHS5PRU7ZVNIUGULPFTAEYBN \
  | 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: cdd27975f1a7f356a286a2de5980980b57adc2a9ba19634b79172d4319f3e33b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bbdf8610ae7631f2b68360704c45d8bf6c9aef9d01474cfe1cb64da6d1f07b8",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-05-14T15:16:50Z",
    "title_canon_sha256": "eaaf8198fe747aec0a75c5902e1cc2997cbf5c1b9c67fc5679aa5e4b21ef436e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.07082",
    "kind": "arxiv",
    "version": 2
  }
}