Pith Number

pith:Y3F7LWX2

pith:2013:Y3F7LWX2VHAA3SFCXNLTELX56J

not attested not anchored not stored refs pending

A short note on Jacobsthal's function

Fintan Costello, Paul Watts

arxiv:1306.1064 v1 · 2013-06-05 · 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{Y3F7LWX2VHAA3SFCXNLTELX56J}

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	2026-05-18T03:21:44.462387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6cbf5dafaa9c00dc8a2bb57322efdf259a31493a7f77156f8c2fc1a8c24e956

Aliases

arxiv: 1306.1064 · arxiv_version: 1306.1064v1 · doi: 10.48550/arxiv.1306.1064 · pith_short_12: Y3F7LWX2VHAA · pith_short_16: Y3F7LWX2VHAA3SFC · pith_short_8: Y3F7LWX2

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/Y3F7LWX2VHAA3SFCXNLTELX56J \
  | 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: c6cbf5dafaa9c00dc8a2bb57322efdf259a31493a7f77156f8c2fc1a8c24e956

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94ded7d07488118ee23881a8b97bd8b81da24e9f330e07c2c93c7f84da97e800",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-05T11:32:11Z",
    "title_canon_sha256": "fa1c22e0b5c667fc959f954b099641bc8eaaa0c341837633f91c0108e1225c23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1064",
    "kind": "arxiv",
    "version": 1
  }
}