Pith Number

pith:DKFSN3OR

pith:2000:DKFSN3ORRVPQNQMS2HEWQ2ZNYL

not attested not anchored not stored refs pending

On Jordan angles and triangle inequality in Grassmannian

Yurii A. Neretin

arxiv:math/0005059 v1 · 2000-05-06 · math.DG · math.MG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKFSN3ORRVPQNQMS2HEWQ2ZNYL}

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	2026-05-18T03:36:27.375879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a8b26edd18d5f06c192d1c9686b2dc2c0296e9961e145755f6bf7d033c07380

Aliases

arxiv: math/0005059 · arxiv_version: math/0005059v1 · doi: 10.48550/arxiv.math/0005059 · pith_short_12: DKFSN3ORRVPQ · pith_short_16: DKFSN3ORRVPQNQMS · pith_short_8: DKFSN3OR

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/DKFSN3ORRVPQNQMS2HEWQ2ZNYL \
  | 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: 1a8b26edd18d5f06c192d1c9686b2dc2c0296e9961e145755f6bf7d033c07380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be420c0b6b0a0692b6bf35b5582a3d33d32d2ff7dfe8013f41692568db4d9345",
    "cross_cats_sorted": [
      "math.MG",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2000-05-06T15:37:37Z",
    "title_canon_sha256": "e85c419ee5401a7ac1f25b83871137f669f6764ac39b55f867dec124d14e1d85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0005059",
    "kind": "arxiv",
    "version": 1
  }
}