Pith Number

pith:X7TVBQZ5

pith:2015:X7TVBQZ5Y5AM4R52QCASNGOFCY

not attested not anchored not stored refs pending

When the sieve works II

Kaisa Matom\"aki, Xuancheng Shao

arxiv:1509.02371 v1 · 2015-09-08 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7TVBQZ5Y5AM4R52QCASNGOFCY}

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	2026-05-18T01:33:41.058118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfe750c33dc740ce47ba80812699c51607fea52cfd5de8211a6ff47aeb000b64

Aliases

arxiv: 1509.02371 · arxiv_version: 1509.02371v1 · doi: 10.48550/arxiv.1509.02371 · pith_short_12: X7TVBQZ5Y5AM · pith_short_16: X7TVBQZ5Y5AM4R52 · pith_short_8: X7TVBQZ5

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/X7TVBQZ5Y5AM4R52QCASNGOFCY \
  | 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: bfe750c33dc740ce47ba80812699c51607fea52cfd5de8211a6ff47aeb000b64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e64848a43d63db003da4fbc25361dcfe65755c9bfaae8096efe5601afb47fb71",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-08T13:45:09Z",
    "title_canon_sha256": "8df00abdf4f7741121b739559e65881a1e048ea1b57d66bd65b7be31a6dffa80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02371",
    "kind": "arxiv",
    "version": 1
  }
}