Pith Number

pith:IOAS2Y4B

pith:2026:IOAS2Y4BE6SXMD4KKI73HFYPCO

not attested not anchored not stored refs pending

Classification of blow-ups for the Alt--Phillips problem in three dimensions

Xavier Fern\'andez-Real

arxiv:2606.00538 v1 · 2026-05-30 · 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{IOAS2Y4BE6SXMD4KKI73HFYPCO}

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	2026-06-02T01:03:57.519637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43812d638127a5760f8a523fb3970f13a9d9920229fa2dc16dec585562984d90

Aliases

arxiv: 2606.00538 · arxiv_version: 2606.00538v1 · doi: 10.48550/arxiv.2606.00538 · pith_short_12: IOAS2Y4BE6SX · pith_short_16: IOAS2Y4BE6SXMD4K · pith_short_8: IOAS2Y4B

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/IOAS2Y4BE6SXMD4KKI73HFYPCO \
  | 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: 43812d638127a5760f8a523fb3970f13a9d9920229fa2dc16dec585562984d90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22cbe1469a4779f604db8b99995e30b5f3bb338b468820172e589fd417ea7122",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-30T05:11:11Z",
    "title_canon_sha256": "3b25d799ab6431340dbcb10f67bc5f3adbfb3519b8fb4a91708da6dd9b6b6b7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00538",
    "kind": "arxiv",
    "version": 1
  }
}