Pith Number

pith:7HAP3CKW

pith:2024:7HAP3CKWB3FPTHAMVNRIL3VIDQ

not attested not anchored not stored refs pending

Resolution of $1$-foliations singularities on surfaces and threefolds

Quentin Posva

arxiv:2405.05735 v2 · 2024-05-09 · 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{7HAP3CKWB3FPTHAMVNRIL3VIDQ}

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.

Cited by

1 paper in Pith

Pathological MMP singularities as $\alpha_p$-quotients

Receipt and verification

First computed	2026-07-05T11:51:15.732199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9c0fd89560ecaf99c0cab6285eea81c027c18c8354d402100479ebe650a41d4

Aliases

arxiv: 2405.05735 · arxiv_version: 2405.05735v2 · doi: 10.48550/arxiv.2405.05735 · pith_short_12: 7HAP3CKWB3FP · pith_short_16: 7HAP3CKWB3FPTHAM · pith_short_8: 7HAP3CKW

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/7HAP3CKWB3FPTHAMVNRIL3VIDQ \
  | 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: f9c0fd89560ecaf99c0cab6285eea81c027c18c8354d402100479ebe650a41d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "315d060a27a7feaca2c64ffdaabc1e2819779d78c41f8c2331c262802d3160c2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-05-09T12:50:48Z",
    "title_canon_sha256": "a3a3504a58d8d0bf6be998b507c4868c709f66f3898d7e680dfbbd47d8b92f0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.05735",
    "kind": "arxiv",
    "version": 2
  }
}