Pith Number

pith:FR4TGWDT

pith:2009:FR4TGWDTNTXHC6TN74COLWK5Y6

not attested not anchored not stored refs pending

On the smallest L_2 projection of a curve in R^n

Mark Kozdoba

arxiv:0912.5323 v3 · 2009-12-29 · 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{FR4TGWDTNTXHC6TN74COLWK5Y6}

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	2026-05-18T04:19:23.452695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c793358736cee717a6dff04e5d95dc78ef7d528cafdfa1cc97bd2d367104f13

Aliases

arxiv: 0912.5323 · arxiv_version: 0912.5323v3 · doi: 10.48550/arxiv.0912.5323 · pith_short_12: FR4TGWDTNTXH · pith_short_16: FR4TGWDTNTXHC6TN · pith_short_8: FR4TGWDT

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/FR4TGWDTNTXHC6TN74COLWK5Y6 \
  | 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: 2c793358736cee717a6dff04e5d95dc78ef7d528cafdfa1cc97bd2d367104f13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10abe8d9fdc679fc705255fa4ca92f1c18ddd5a6135cc5bc4ba7c3f61694b563",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-12-29T16:00:55Z",
    "title_canon_sha256": "f55c7de93a93ed34ef4bc75153dcd40c4461ec4bf914f8c6f82ea2348cad4a95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5323",
    "kind": "arxiv",
    "version": 3
  }
}