Pith Number

pith:S4MZ652M

pith:2025:S4MZ652MBOCOYVQQEN352VCVXX

not attested not anchored not stored refs pending

Pathological MMP singularities as $\alpha_p$-quotients

Quentin Posva

arxiv:2501.01179 v2 · 2025-01-02 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4MZ652MBOCOYVQQEN352VCVXX}

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	2026-07-05T11:51:20.634502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97199f774c0b84ec56102377dd5455bde4572b0976fd9e10addf04efb006a773

Aliases

arxiv: 2501.01179 · arxiv_version: 2501.01179v2 · doi: 10.48550/arxiv.2501.01179 · pith_short_12: S4MZ652MBOCO · pith_short_16: S4MZ652MBOCOYVQQ · pith_short_8: S4MZ652M

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/S4MZ652MBOCOYVQQEN352VCVXX \
  | 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: 97199f774c0b84ec56102377dd5455bde4572b0976fd9e10addf04efb006a773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "929cefea88b0d6b0c2f744a91c3a2fec2db64afaa9b2d8e612a8bd22f7551db5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-02T10:14:17Z",
    "title_canon_sha256": "3c2d1e1f7feb1771c0457759cc918c49add029b894afc24fcedc44c8b3250d05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.01179",
    "kind": "arxiv",
    "version": 2
  }
}