Pith Number

pith:6UUOYPBB

pith:2011:6UUOYPBBGXXEY7UBXJDQQZTLEV

not attested not anchored not stored refs pending

Pruitt's Estimates in Banach Space

Philip S. Griffin

arxiv:1105.2183 v1 · 2011-05-11 · 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{6UUOYPBBGXXEY7UBXJDQQZTLEV}

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	2026-05-18T04:22:21.346081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f528ec3c2135ee4c7e81ba4708666b257009ac05e68a347bdda34c84cc2005e1

Aliases

arxiv: 1105.2183 · arxiv_version: 1105.2183v1 · doi: 10.48550/arxiv.1105.2183 · pith_short_12: 6UUOYPBBGXXE · pith_short_16: 6UUOYPBBGXXEY7UB · pith_short_8: 6UUOYPBB

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/6UUOYPBBGXXEY7UBXJDQQZTLEV \
  | 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: f528ec3c2135ee4c7e81ba4708666b257009ac05e68a347bdda34c84cc2005e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d0d3361a7fa9b750bf176feb4817d01b3d245a4b6bd66458c340fec9e717645",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-11T13:25:21Z",
    "title_canon_sha256": "314b62d35bbc547bd4794b7f6166be60b707de65b463e0b61639209b501ee4c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2183",
    "kind": "arxiv",
    "version": 1
  }
}