Pith Number

pith:MGTSQWHU

pith:2021:MGTSQWHUNFH3JQZ3QORPIDGPBJ

not attested not anchored not stored refs pending

Lipschitz Bernoulli utility functions

Efe A. Ok, Nik Weaver

arxiv:2104.11205 v1 · 2021-04-22 · 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{MGTSQWHUNFH3JQZ3QORPIDGPBJ}

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	2026-07-05T02:34:18.699753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61a72858f4694fb4c33b83a2f40ccf0a685765bd5369d2b2315a4f91e086b833

Aliases

arxiv: 2104.11205 · arxiv_version: 2104.11205v1 · doi: 10.48550/arxiv.2104.11205 · pith_short_12: MGTSQWHUNFH3 · pith_short_16: MGTSQWHUNFH3JQZ3 · pith_short_8: MGTSQWHU

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/MGTSQWHUNFH3JQZ3QORPIDGPBJ \
  | 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: 61a72858f4694fb4c33b83a2f40ccf0a685765bd5369d2b2315a4f91e086b833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e78ec8fe139169a6cd04c3990cc0f78e3642ed37ed609fd2a8880ff361d79727",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-04-22T17:39:57Z",
    "title_canon_sha256": "6c7e12f09dd918d131fb2fa4251e2fb4e581c599a3b8f8ea6799e2cf57025838"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.11205",
    "kind": "arxiv",
    "version": 1
  }
}