Pith Number

pith:ZZDR65YL

pith:2011:ZZDR65YLWUY27LEO2WUP2HOYZ6

not attested not anchored not stored refs pending

Type classes for efficient exact real arithmetic in Coq

Bas Spitters, Robbert Krebbers

arxiv:1106.3448 v3 · 2011-06-17 · cs.LO · 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{ZZDR65YLWUY27LEO2WUP2HOYZ6}

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	2026-05-17T23:51:24.117226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce471f770bb531afac8ed5a8fd1dd8cf9396bcb1f4fbbbadc824b8762e9865a5

Aliases

arxiv: 1106.3448 · arxiv_version: 1106.3448v3 · doi: 10.48550/arxiv.1106.3448 · pith_short_12: ZZDR65YLWUY2 · pith_short_16: ZZDR65YLWUY27LEO · pith_short_8: ZZDR65YL

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/ZZDR65YLWUY27LEO2WUP2HOYZ6 \
  | 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: ce471f770bb531afac8ed5a8fd1dd8cf9396bcb1f4fbbbadc824b8762e9865a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36e25e4f0f17d7a75ceef62d6e943e0d28e2ebb8632ee3430eaadeadd4b9dd41",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2011-06-17T11:20:20Z",
    "title_canon_sha256": "9d7088dbb05292ab88cab18d2237de52fdea8643a2781d0d7db2a834fbc78521"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3448",
    "kind": "arxiv",
    "version": 3
  }
}