Pith Number

pith:ZPRUNCW7

pith:2013:ZPRUNCW77NZGRK7FYLO5HH26UG

not attested not anchored not stored refs pending

Stable Embedding of Grassmann Manifold via Gaussian Random matrices

Gang Li, Hailong Shi, Hao Zhang, Xiqin Wang

arxiv:1312.3263 v5 · 2013-12-11 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPRUNCW77NZGRK7FYLO5HH26UG}

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	2026-05-18T02:58:32.244121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe3468adffb7268abe5c2ddd39f5ea1a4c7b182977a4ef3487d3e645e62dac1

Aliases

arxiv: 1312.3263 · arxiv_version: 1312.3263v5 · doi: 10.48550/arxiv.1312.3263 · pith_short_12: ZPRUNCW77NZG · pith_short_16: ZPRUNCW77NZGRK7F · pith_short_8: ZPRUNCW7

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/ZPRUNCW77NZGRK7FYLO5HH26UG \
  | 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: cbe3468adffb7268abe5c2ddd39f5ea1a4c7b182977a4ef3487d3e645e62dac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b90954719e0748925c0da22e87ae41cecf8c8729eda156f6495b3b07f7e822c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-12-11T18:05:57Z",
    "title_canon_sha256": "20ee7e8426d22d1aff20661245e59f9f40ce77abdacacb259e19dbc5d5ddbf8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3263",
    "kind": "arxiv",
    "version": 5
  }
}