Pith Number

pith:CNL76A2T

pith:2010:CNL76A2TGWXSVTML5E2ZS6VZRA

not attested not anchored not stored refs pending

Approximate symmetries of geodesic equations on 2-spheres

K. Saifullah, K. Usman

arxiv:1005.1389 v1 · 2010-05-09 · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CNL76A2TGWXSVTML5E2ZS6VZRA}

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	2026-05-18T04:34:08.872666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1357ff035335af2acd8be935997ab9880d5306863f56d70eac587df003a3b9ec

Aliases

arxiv: 1005.1389 · arxiv_version: 1005.1389v1 · doi: 10.48550/arxiv.1005.1389 · pith_short_12: CNL76A2TGWXS · pith_short_16: CNL76A2TGWXSVTML · pith_short_8: CNL76A2T

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/CNL76A2TGWXSVTML5E2ZS6VZRA \
  | 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: 1357ff035335af2acd8be935997ab9880d5306863f56d70eac587df003a3b9ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84460fbb43c22a312898d3fc07e55387242cee9f9d0b894ceb67bd0d3d58cef8",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-05-09T11:54:38Z",
    "title_canon_sha256": "46ce071274f24946949eedc965ff2a565e06313c8770d27bf0ae91c8d0dbaad9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1389",
    "kind": "arxiv",
    "version": 1
  }
}