Pith Number

pith:CQKIY54X

pith:2015:CQKIY54XHDBNZ3VJW74AZGYYQS

not attested not anchored not stored refs pending

Riemannian and Sub-Riemannian geodesic flows

Erlend Grong, Mauricio Godoy Molina

arxiv:1502.06018 v1 · 2015-02-20 · 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{CQKIY54XHDBNZ3VJW74AZGYYQS}

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	2026-05-18T02:26:38.265607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14148c779738c2dceea9b7f80c9b1884a312db5cb94d10b490f90122411268dd

Aliases

arxiv: 1502.06018 · arxiv_version: 1502.06018v1 · doi: 10.48550/arxiv.1502.06018 · pith_short_12: CQKIY54XHDBN · pith_short_16: CQKIY54XHDBNZ3VJ · pith_short_8: CQKIY54X

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/CQKIY54XHDBNZ3VJW74AZGYYQS \
  | 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: 14148c779738c2dceea9b7f80c9b1884a312db5cb94d10b490f90122411268dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38d8a5e3c93f1e00f658fda3939ef4096d2611c465fc5a7a8434accbe2636242",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-20T21:44:09Z",
    "title_canon_sha256": "10bccd04892bf1790a0648e0aa2e28b7ea9e83a11898c1530bd70275a291420d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06018",
    "kind": "arxiv",
    "version": 1
  }
}