Pith Number

pith:R7TOIM5W

pith:2015:R7TOIM5WS7GQGKFGNSUFHTZBQR

not attested not anchored not stored refs pending

A Cheeger type finiteness theorem for Finsler manifolds

Wei Zhao, Yibing Shen

arxiv:1504.05015 v1 · 2015-04-20 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R7TOIM5WS7GQGKFGNSUFHTZBQR}

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	2026-05-17T23:43:18.892516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fe6e433b697cd0328a66ca853cf2184569a467dad8aa0a1812748db1fe2a290

Aliases

arxiv: 1504.05015 · arxiv_version: 1504.05015v1 · doi: 10.48550/arxiv.1504.05015 · pith_short_12: R7TOIM5WS7GQ · pith_short_16: R7TOIM5WS7GQGKFG · pith_short_8: R7TOIM5W

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/R7TOIM5WS7GQGKFGNSUFHTZBQR \
  | 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: 8fe6e433b697cd0328a66ca853cf2184569a467dad8aa0a1812748db1fe2a290

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc15ccd3bab15db6ed55830a7dba249d9ce934ef9b271a18008920a3473ac9e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-20T11:19:56Z",
    "title_canon_sha256": "bc6e6d36b1e1f0fbcffb4e72ab9ce221d01b0d665bbee509e63856bb8676f379"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05015",
    "kind": "arxiv",
    "version": 1
  }
}