Pith Number

pith:OV6F6FFI

pith:2017:OV6F6FFIS4WU46RQHPELKVKOVF

not attested not anchored not stored refs pending

The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form

Hui Liu, Yiming Long, Yuming Xiao

arxiv:1708.00857 v1 · 2017-08-02 · math.DS · math.DG · 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{OV6F6FFIS4WU46RQHPELKVKOVF}

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	2026-05-18T00:38:41.321851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

757c5f14a8972d4e7a303bc8b5554ea94a70151245fe3f80835a5476ae3ac763

Aliases

arxiv: 1708.00857 · arxiv_version: 1708.00857v1 · doi: 10.48550/arxiv.1708.00857 · pith_short_12: OV6F6FFIS4WU · pith_short_16: OV6F6FFIS4WU46RQ · pith_short_8: OV6F6FFI

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/OV6F6FFIS4WU46RQHPELKVKOVF \
  | 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: 757c5f14a8972d4e7a303bc8b5554ea94a70151245fe3f80835a5476ae3ac763

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "028f6f31d2a5d9f6793b19818e97c515a13f936577c1d0f7108aef17b96f8712",
    "cross_cats_sorted": [
      "math.DG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-08-02T00:58:10Z",
    "title_canon_sha256": "bfdf3d3aceb1a54a917e7738903da7624348a4096e415fe1ffbf2961d6e38c83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00857",
    "kind": "arxiv",
    "version": 1
  }
}