Pith Number

pith:OUL57E7Q

pith:2026:OUL57E7QXDFN7OJBJSI57ZIXRT

not attested not anchored not stored refs pending

$\mathbf{F}$-jumping numbers can be irrational

Rahul Ajit

arxiv:2605.26354 v1 · 2026-05-25 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OUL57E7QXDFN7OJBJSI57ZIXRT}

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	2026-05-27T01:05:13.622145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7517df93f0b8cadfb9214c91dfe5178cfadd7093eb6e694cb01b212a948fa911

Aliases

arxiv: 2605.26354 · arxiv_version: 2605.26354v1 · doi: 10.48550/arxiv.2605.26354 · pith_short_12: OUL57E7QXDFN · pith_short_16: OUL57E7QXDFN7OJB · pith_short_8: OUL57E7Q

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/OUL57E7QXDFN7OJBJSI57ZIXRT \
  | 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: 7517df93f0b8cadfb9214c91dfe5178cfadd7093eb6e694cb01b212a948fa911

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f72596fb4d5acddf086dc69e78e95aa02b40ccaa876b50bbec176a4ebfc911b0",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-25T22:03:22Z",
    "title_canon_sha256": "a0b10560181039e4b9b19da8a1ba2520f3d0131038162c87f2398e43afee1d7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26354",
    "kind": "arxiv",
    "version": 1
  }
}