Pith Number

pith:N3A2CW5B

pith:1999:N3A2CW5B7WIQMRTQDFFY2ZFJBO

not attested not anchored not stored refs pending

Geometry of oblique projections

D. Stojanoff, E. Andruchow, G. Corach

arxiv:math/9911133 v2 · 1999-11-17 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3A2CW5B7WIQMRTQDFFY2ZFJBO}

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.

Cited by

1 paper in Pith

GeoMM: On Geodesic Perspective for Multi-modal Learning

Receipt and verification

First computed	2026-07-04T14:41:23.182865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ec1a15ba1fd91064670194b8d64a90b9a73996231eb3c473e45e45b01b92ec8

Aliases

arxiv: math/9911133 · arxiv_version: math/9911133v2 · doi: 10.48550/arxiv.math/9911133 · pith_short_12: N3A2CW5B7WIQ · pith_short_16: N3A2CW5B7WIQMRTQ · pith_short_8: N3A2CW5B

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/N3A2CW5B7WIQMRTQDFFY2ZFJBO \
  | 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: 6ec1a15ba1fd91064670194b8d64a90b9a73996231eb3c473e45e45b01b92ec8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09b53a02dfbc3d47371f4f02657c295c4a13345cd37f0a6ccf3efe1c397992f3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "1999-11-17T19:57:11Z",
    "title_canon_sha256": "52b11a3f7f6fa5ea462643e5c24ea8b79ba0825ccffd29ec2f6c0bd6cd4836a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9911133",
    "kind": "arxiv",
    "version": 2
  }
}