Pith Number

pith:YKCHXHMO

pith:2007:YKCHXHMOSLFMUL2S7JMIFA26UP

not attested not anchored not stored refs pending

Jacobsthal's function and a short proof of the density of a set in the unit hypercube

Timothy Foo

arxiv:math/0702673 v3 · 2007-02-22 · 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{YKCHXHMOSLFMUL2S7JMIFA26UP}

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	2026-05-18T03:44:05.257600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2847b9d8e92caca2f52fa5882835ea3e081e49d79caca0ce23cb10ba5d40aff

Aliases

arxiv: math/0702673 · arxiv_version: math/0702673v3 · doi: 10.48550/arxiv.math/0702673 · pith_short_12: YKCHXHMOSLFM · pith_short_16: YKCHXHMOSLFMUL2S · pith_short_8: YKCHXHMO

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/YKCHXHMOSLFMUL2S7JMIFA26UP \
  | 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: c2847b9d8e92caca2f52fa5882835ea3e081e49d79caca0ce23cb10ba5d40aff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "511274a6321190e9eda42c8895217fb4eae796fbd985987c0622853c6e710d8a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-02-22T19:00:58Z",
    "title_canon_sha256": "30d1dfe08e2a1490445a146015c3a2cda87cab4a206d1e8f14d96f18be357e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702673",
    "kind": "arxiv",
    "version": 3
  }
}