Pith Number

pith:OQRY6VO2

pith:2012:OQRY6VO2XCBFWTTY7FWITX3ZB2

not attested not anchored not stored refs pending

Isometry actions and geodesics orthogonal to submanifolds

Antonio J. Di Scala, Gabriel Ruiz-Hern\'andez, Heudson Mirandola, S\'ergio Mendon\c{c}a

arxiv:1210.0527 v1 · 2012-10-01 · 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{OQRY6VO2XCBFWTTY7FWITX3ZB2}

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	2026-05-18T03:44:22.293227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74238f55dab8825b4e78f96c89df790e866bbf66e07a143596c335d4804d2553

Aliases

arxiv: 1210.0527 · arxiv_version: 1210.0527v1 · doi: 10.48550/arxiv.1210.0527 · pith_short_12: OQRY6VO2XCBF · pith_short_16: OQRY6VO2XCBFWTTY · pith_short_8: OQRY6VO2

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/OQRY6VO2XCBFWTTY7FWITX3ZB2 \
  | 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: 74238f55dab8825b4e78f96c89df790e866bbf66e07a143596c335d4804d2553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "152ffc9a8e35ca6bf0257de7b4af626acc82a66e30b4e278ba4ef3686e0755e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-01T19:59:32Z",
    "title_canon_sha256": "35a9b02a1725ad6c988abeb98bfd199eb15e89eece1e207e46cc13a0fdf262eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0527",
    "kind": "arxiv",
    "version": 1
  }
}