Pith Number

pith:ESJWZ4SM

pith:2026:ESJWZ4SMCWWFYSWLGM4EZ3L4YJ

not attested not anchored not stored refs pending

Pure infiniteness and primary factorisation

Antonio Acuaviva, Bence Horv\'ath, Tomasz Kania

arxiv:2607.01467 v1 · 2026-07-01 · math.FA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESJWZ4SMCWWFYSWLGM4EZ3L4YJ}

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	2026-07-03T00:17:00.973549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24936cf24c15ac5c4acb33384ced7cc24563a7697be492a1270963c95da10a4e

Aliases

arxiv: 2607.01467 · arxiv_version: 2607.01467v1 · doi: 10.48550/arxiv.2607.01467 · pith_short_12: ESJWZ4SMCWWF · pith_short_16: ESJWZ4SMCWWFYSWL · pith_short_8: ESJWZ4SM

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/ESJWZ4SMCWWFYSWLGM4EZ3L4YJ \
  | 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: 24936cf24c15ac5c4acb33384ced7cc24563a7697be492a1270963c95da10a4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b88f6e58935fe536ae816b4238ecb0f745d2ff26306fbb8f6b7a45ce4fc0206b",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-07-01T20:56:43Z",
    "title_canon_sha256": "b52d1ae2caa5f932c3e97b34ba9336b69701b7a71953bde35941634e9deb330e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01467",
    "kind": "arxiv",
    "version": 1
  }
}