Pith Number

pith:YFKXVJSI

pith:2026:YFKXVJSIDAIXQPPJP3NMIZ35BN

not attested not anchored not stored refs pending

A new class of Euler explosions

Giorgio Cialdea, Jiajie Chen, Steve Shkoller, Vlad Vicol

arxiv:2606.18152 v1 · 2026-06-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YFKXVJSIDAIXQPPJP3NMIZ35BN}

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	2026-06-19T16:10:49.619771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1557aa6481811783de97edac4677d0b75d51f26597f7007a9eaaccfe9c146d4

Aliases

arxiv: 2606.18152 · arxiv_version: 2606.18152v1 · doi: 10.48550/arxiv.2606.18152 · pith_short_12: YFKXVJSIDAIX · pith_short_16: YFKXVJSIDAIXQPPJ · pith_short_8: YFKXVJSI

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/YFKXVJSIDAIXQPPJP3NMIZ35BN \
  | 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: c1557aa6481811783de97edac4677d0b75d51f26597f7007a9eaaccfe9c146d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82b8d46644e43e2829dfe7dc536c619554248388e6156b9162b9dc738303971",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-16T16:52:06Z",
    "title_canon_sha256": "981dc8ad0f48071a06ca56e751b268281cc98bd4bd681efabe2cc654c75644ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18152",
    "kind": "arxiv",
    "version": 1
  }
}