Pith Number

pith:4N3R256O

pith:1996:4N3R256OIB4R5ZKBCN6IBJX5N6

not attested not anchored not stored refs pending

Random vectors in the isotropic position

Mark Rudelson

arxiv:math/9608208 v1 · 1996-08-19 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4N3R256OIB4R5ZKBCN6IBJX5N6}

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	2026-05-18T01:05:47.109436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3771d77ce40791ee541137c80a6fd6f86963dcbcee8237a5f4f2d0f41483e19

Aliases

arxiv: math/9608208 · arxiv_version: math/9608208v1 · doi: 10.48550/arxiv.math/9608208 · pith_short_12: 4N3R256OIB4R · pith_short_16: 4N3R256OIB4R5ZKB · pith_short_8: 4N3R256O

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/4N3R256OIB4R5ZKBCN6IBJX5N6 \
  | 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: e3771d77ce40791ee541137c80a6fd6f86963dcbcee8237a5f4f2d0f41483e19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "642d44b392b46e17cfbc5500a13ff46fa0b93c12e4e34bcc73b7ad0989126f2c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "1996-08-19T00:00:00Z",
    "title_canon_sha256": "c1923d5536224a511b40df26c9d948b03c28ac0a02dcd48f515648a9eedc746b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9608208",
    "kind": "arxiv",
    "version": 1
  }
}