Pith Number

pith:CBAJQJ6H

pith:2014:CBAJQJ6HUJAGRMWOCR54SYUUCZ

not attested not anchored not stored refs pending

Isometry-invariant geodesics and the fundamental group

Marco Mazzucchelli

arxiv:1409.7249 v1 · 2014-09-25 · 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{CBAJQJ6HUJAGRMWOCR54SYUUCZ}

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	2026-05-18T02:14:17.612645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10409827c7a24068b2ce147bc962941647be666d73ac9bebabd2a51e3b3fdf44

Aliases

arxiv: 1409.7249 · arxiv_version: 1409.7249v1 · doi: 10.48550/arxiv.1409.7249 · pith_short_12: CBAJQJ6HUJAG · pith_short_16: CBAJQJ6HUJAGRMWO · pith_short_8: CBAJQJ6H

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/CBAJQJ6HUJAGRMWOCR54SYUUCZ \
  | 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: 10409827c7a24068b2ce147bc962941647be666d73ac9bebabd2a51e3b3fdf44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44f1f145115ae5d78063a04a57bce7d91cca54a1b5143f09eec7808b77d28758",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-09-25T13:13:33Z",
    "title_canon_sha256": "a11b0824ee83262691358511d97ae71f8c92c3bb34e96fc453fb72dd467696ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7249",
    "kind": "arxiv",
    "version": 1
  }
}