Pith Number

pith:DEU5JY7X

pith:2011:DEU5JY7XFVTZFSJYVBKNYJFKQN

not attested not anchored not stored refs pending

A new proof of Doob's theorem

Moritz Gerlach, Robin Nittka

arxiv:1106.6316 v2 · 2011-06-30 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DEU5JY7XFVTZFSJYVBKNYJFKQN}

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	2026-05-18T04:03:19.335004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1929d4e3f72d6792c938a854dc24aa83496997a28a2140c0c09a595c70c61864

Aliases

arxiv: 1106.6316 · arxiv_version: 1106.6316v2 · doi: 10.48550/arxiv.1106.6316 · pith_short_12: DEU5JY7XFVTZ · pith_short_16: DEU5JY7XFVTZFSJY · pith_short_8: DEU5JY7X

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/DEU5JY7XFVTZFSJYVBKNYJFKQN \
  | 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: 1929d4e3f72d6792c938a854dc24aa83496997a28a2140c0c09a595c70c61864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "711606802e5896ec6b29e1c79ae1670422bf9152cf4e0b10bc1e33768855f9bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-06-30T17:55:01Z",
    "title_canon_sha256": "ef4f9f2faeca0ab0c98a1bbeb7d41525746e0b77dc6bac4d38a6dd717d387b81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.6316",
    "kind": "arxiv",
    "version": 2
  }
}