Pith Number

pith:O7UAHKOS

pith:2012:O7UAHKOSKFTG446N5UTKOGVDPX

not attested not anchored not stored refs pending

The use of Bad Primes in Rational Reconstruction

Claus Fieker, Gerhard Pfister, Janko Boehm, Wolfram Decker

arxiv:1207.1651 v2 · 2012-07-06 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7UAHKOSKFTG446N5UTKOGVDPX}

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	2026-05-18T01:23:31.757107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77e803a9d251666e73cded26a71aa37ddbaa26e3f0a0e9dbf3cc01e43adc575f

Aliases

arxiv: 1207.1651 · arxiv_version: 1207.1651v2 · doi: 10.48550/arxiv.1207.1651 · pith_short_12: O7UAHKOSKFTG · pith_short_16: O7UAHKOSKFTG446N · pith_short_8: O7UAHKOS

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/O7UAHKOSKFTG446N5UTKOGVDPX \
  | 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: 77e803a9d251666e73cded26a71aa37ddbaa26e3f0a0e9dbf3cc01e43adc575f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a56b8e9fa289b1bce31990280867903149327ba8a392d474ea2e2836c66de3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-07-06T15:11:20Z",
    "title_canon_sha256": "c7c969d0fe5d0b02e5951ab2124cbe967dba48dc6be49fbc5e4edab22ed85615"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1651",
    "kind": "arxiv",
    "version": 2
  }
}