Pith Number

pith:PDTE4UYW

pith:2012:PDTE4UYWRYRMUDY7J2WGBUD2P2

not attested not anchored not stored refs pending

Extremes of Error Exponents

Albert Guillen i Fabregas, Alfonso Martinez, Ingmar Land

arxiv:1212.1098 v1 · 2012-12-05 · 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{PDTE4UYWRYRMUDY7J2WGBUD2P2}

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	2026-05-18T03:39:05.857734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78e64e53168e22ca0f1f4eac60d07a7ebf620b5eaf36b18efb84de5df65d6ba4

Aliases

arxiv: 1212.1098 · arxiv_version: 1212.1098v1 · doi: 10.48550/arxiv.1212.1098 · pith_short_12: PDTE4UYWRYRM · pith_short_16: PDTE4UYWRYRMUDY7 · pith_short_8: PDTE4UYW

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/PDTE4UYWRYRMUDY7J2WGBUD2P2 \
  | 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: 78e64e53168e22ca0f1f4eac60d07a7ebf620b5eaf36b18efb84de5df65d6ba4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4b9145739e0300c08a070e01e8e18c748c637594ca25b846cd442af754811ff",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-12-05T17:04:10Z",
    "title_canon_sha256": "151adb4e96f258c45e88c16cb750e7b316951b95328b99dbb8aa4bb0e8918439"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1098",
    "kind": "arxiv",
    "version": 1
  }
}