Pith Number

pith:XCUMQE7Z

pith:2017:XCUMQE7ZA3O2YIHSKEVHI7OSYR

not attested not anchored not stored refs pending

Instability of semi-Riemannian closed geodesics

Alessandro Portaluri, Ran Yang, Xijun Hu

arxiv:1706.07619 v3 · 2017-06-23 · 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{XCUMQE7ZA3O2YIHSKEVHI7OSYR}

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	2026-05-17T23:46:22.110624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8a8c813f906ddac20f2512a747dd2c447cc52eea449c38a2969f7976b1d9302

Aliases

arxiv: 1706.07619 · arxiv_version: 1706.07619v3 · doi: 10.48550/arxiv.1706.07619 · pith_short_12: XCUMQE7ZA3O2 · pith_short_16: XCUMQE7ZA3O2YIHS · pith_short_8: XCUMQE7Z

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/XCUMQE7ZA3O2YIHSKEVHI7OSYR \
  | 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: b8a8c813f906ddac20f2512a747dd2c447cc52eea449c38a2969f7976b1d9302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2336bfee7f702db6761924b263ea2fb6cf2d048345584cc6d6180cd425ed8bcb",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-06-23T09:52:49Z",
    "title_canon_sha256": "a5ca00619edfdf6187ad0bc488342f2975e9fcf14d7d9b5161560811d485b820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07619",
    "kind": "arxiv",
    "version": 3
  }
}