Pith Number

pith:FCCGYQU2

pith:2015:FCCGYQU2ZZ5FAKA3DWHNLMIU2S

not attested not anchored not stored refs pending

Randomized QR with Column Pivoting

Jed A. Duersch, Ming Gu

arxiv:1509.06820 v2 · 2015-09-23 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCCGYQU2ZZ5FAKA3DWHNLMIU2S}

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	2026-05-18T00:25:29.488966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28846c429ace7a50281b1d8ed5b114d4a250b1d8735a8fad4c38d322ca319697

Aliases

arxiv: 1509.06820 · arxiv_version: 1509.06820v2 · doi: 10.48550/arxiv.1509.06820 · pith_short_12: FCCGYQU2ZZ5F · pith_short_16: FCCGYQU2ZZ5FAKA3 · pith_short_8: FCCGYQU2

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/FCCGYQU2ZZ5FAKA3DWHNLMIU2S \
  | 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: 28846c429ace7a50281b1d8ed5b114d4a250b1d8735a8fad4c38d322ca319697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "962a24d28e243e1eeed6795917104465f96c5b2f94f966e565c2951c3a693cf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-09-23T01:30:28Z",
    "title_canon_sha256": "2f429d4eb231f3c9aeaac3a48d9cd0aa2c77adbaacfa55f4fe73bb50a955f6c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06820",
    "kind": "arxiv",
    "version": 2
  }
}