Pith Number

pith:AI6D6MHB

pith:2015:AI6D6MHBSIUH5X5YKNC4E7Q6N7

not attested not anchored not stored refs pending

Optimal eigen expansions and uniform bounds

Moritz Jirak

arxiv:1501.01271 v7 · 2015-01-05 · math.ST · math.PR · stat.ME · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AI6D6MHBSIUH5X5YKNC4E7Q6N7}

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	2026-05-18T01:20:50.589250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

023c3f30e192287edfb85345c27e1e6fd33dd1a3e185e9d9558790f307545558

Aliases

arxiv: 1501.01271 · arxiv_version: 1501.01271v7 · doi: 10.48550/arxiv.1501.01271 · pith_short_12: AI6D6MHBSIUH · pith_short_16: AI6D6MHBSIUH5X5Y · pith_short_8: AI6D6MHB

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/AI6D6MHBSIUH5X5YKNC4E7Q6N7 \
  | 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: 023c3f30e192287edfb85345c27e1e6fd33dd1a3e185e9d9558790f307545558

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "079ed1e7d246924a85bcbf1f1e7eef40b6c412f43cdc2bf52e6cfe007c0a8791",
    "cross_cats_sorted": [
      "math.PR",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-01-05T20:25:38Z",
    "title_canon_sha256": "a7fabf12d8a00fe66ea6e7a19f91dd9d72738e1027e00ecca5e5bd6532cb75f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01271",
    "kind": "arxiv",
    "version": 7
  }
}