Pith Number

pith:UTJN5ZO2

pith:2014:UTJN5ZO2GAS4N4UD5RGGKRQTWD

not attested not anchored not stored refs pending

A note on arithmetic in finite types

Benno van den Berg

arxiv:1408.3557 v2 · 2014-08-15 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTJN5ZO2GAS4N4UD5RGGKRQTWD}

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	2026-05-18T01:04:24.756368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d2dee5da3025c6f283ec4c654613b0e84ce9897824b50c421abfbe6c5cdd45

Aliases

arxiv: 1408.3557 · arxiv_version: 1408.3557v2 · doi: 10.48550/arxiv.1408.3557 · pith_short_12: UTJN5ZO2GAS4 · pith_short_16: UTJN5ZO2GAS4N4UD · pith_short_8: UTJN5ZO2

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/UTJN5ZO2GAS4N4UD5RGGKRQTWD \
  | 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: a4d2dee5da3025c6f283ec4c654613b0e84ce9897824b50c421abfbe6c5cdd45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b95ef21f3c46bd753d7f7942b4e5819f05982b71c61f7b4d5f838c36a286866",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-08-15T15:14:14Z",
    "title_canon_sha256": "86239c3d078891e1dedbe5f53c194b0aa01a312ec886a178aaf24fb5e1e6f7ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3557",
    "kind": "arxiv",
    "version": 2
  }
}