Pith Number

pith:J73RDFZN

pith:2008:J73RDFZN6QI47EV2UYODW7SB6J

not attested not anchored not stored refs pending

Mean values with cubic characters

Matthew P. Young, Stephan Baier

arxiv:0804.2233 v4 · 2008-04-14 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J73RDFZN6QI47EV2UYODW7SB6J}

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	2026-05-18T03:29:51.464254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ff711972df411cf92baa61c3b7e41f271fbb04587ff8a80600ca4765ddfc5e2

Aliases

arxiv: 0804.2233 · arxiv_version: 0804.2233v4 · doi: 10.48550/arxiv.0804.2233 · pith_short_12: J73RDFZN6QI4 · pith_short_16: J73RDFZN6QI47EV2 · pith_short_8: J73RDFZN

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/J73RDFZN6QI47EV2UYODW7SB6J \
  | 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: 4ff711972df411cf92baa61c3b7e41f271fbb04587ff8a80600ca4765ddfc5e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "496e41e5dd647144416da0a00b178c765557985e4057cc3092364c0ec972e9c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-04-14T17:51:49Z",
    "title_canon_sha256": "b32eea8cbcf57628c36615e49bf8df98d70d3cbd8861c95317f2707d6db55c8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2233",
    "kind": "arxiv",
    "version": 4
  }
}