Pith Number

pith:JI5YFDIW

pith:2015:JI5YFDIWIRU4ILMOF6EZY5OXDS

not attested not anchored not stored refs pending

Intermediate arithmetic operations on ordinal numbers

Harry Altman

arxiv:1501.05747 v9 · 2015-01-23 · 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{JI5YFDIWIRU4ILMOF6EZY5OXDS}

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	2026-05-18T00:31:00.624262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a3b828d164469c42d8e2f899c75d71c9f8a40f5b8fd7349af24b06af7b03875

Aliases

arxiv: 1501.05747 · arxiv_version: 1501.05747v9 · doi: 10.48550/arxiv.1501.05747 · pith_short_12: JI5YFDIWIRU4 · pith_short_16: JI5YFDIWIRU4ILMO · pith_short_8: JI5YFDIW

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/JI5YFDIWIRU4ILMOF6EZY5OXDS \
  | 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: 4a3b828d164469c42d8e2f899c75d71c9f8a40f5b8fd7349af24b06af7b03875

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de6eeecaa91e90a9d3a607c56be84660089c0a26e47ec7fbe162120ebd9c98a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-01-23T09:27:32Z",
    "title_canon_sha256": "b3a77d2588bd2eabcc7a5821df334b4c9f7ee23c6dd7f7ad3e0c897dc2038853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05747",
    "kind": "arxiv",
    "version": 9
  }
}