Pith Number

pith:XO7MYMZ2

pith:2015:XO7MYMZ2Z5OTLDM4JG7LJY2R4Q

not attested not anchored not stored refs pending

The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds

Huagui Duan, Wei Wang, Yiming Long

arxiv:1510.02872 v2 · 2015-10-10 · math.SG · math.DG · 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{XO7MYMZ2Z5OTLDM4JG7LJY2R4Q}

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	2026-05-18T01:23:18.523405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbbecc333acf5d358d9c49beb4e351e42325192356bf2e3bf1e755baae50b964

Aliases

arxiv: 1510.02872 · arxiv_version: 1510.02872v2 · doi: 10.48550/arxiv.1510.02872 · pith_short_12: XO7MYMZ2Z5OT · pith_short_16: XO7MYMZ2Z5OTLDM4 · pith_short_8: XO7MYMZ2

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/XO7MYMZ2Z5OTLDM4JG7LJY2R4Q \
  | 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: bbbecc333acf5d358d9c49beb4e351e42325192356bf2e3bf1e755baae50b964

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66459692ee1c909f0e6ba0b8f74f7f933c89968e16e7056eb8a0453d313ca6e4",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-10-10T04:08:02Z",
    "title_canon_sha256": "cee21931ed96191cad152662717baacf71fef8bb199f53581f79da502d73ccf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02872",
    "kind": "arxiv",
    "version": 2
  }
}