Pith Number

pith:7YDI2EFH

pith:2013:7YDI2EFHVTHY2MR7B4SIW3PYYP

not attested not anchored not stored refs pending

The Quicksort Process

Mahmoud Ragab, Uwe Roesler

arxiv:1302.3770 v1 · 2013-02-15 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7YDI2EFHVTHY2MR7B4SIW3PYYP}

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	2026-05-18T03:33:35.798354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe068d10a7accf8d323f0f248b6df8c3c1828f244afa29a0df3ec4f49b508a28

Aliases

arxiv: 1302.3770 · arxiv_version: 1302.3770v1 · doi: 10.48550/arxiv.1302.3770 · pith_short_12: 7YDI2EFHVTHY · pith_short_16: 7YDI2EFHVTHY2MR7 · pith_short_8: 7YDI2EFH

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/7YDI2EFHVTHY2MR7B4SIW3PYYP \
  | 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: fe068d10a7accf8d323f0f248b6df8c3c1828f244afa29a0df3ec4f49b508a28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb131f640b91191ba3467bf0cde4566be34f87e4a596736b5e6e5913ac5f9456",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-15T15:24:18Z",
    "title_canon_sha256": "823f8f1cffadea6121aff2eac7c6ee24ddfce7eda891bc5942852b24d12019d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3770",
    "kind": "arxiv",
    "version": 1
  }
}