Pith Number

pith:4A7P3FN4

pith:2025:4A7P3FN4QLWCOA6KOXX5KXIFHO

not attested not anchored not stored refs pending

Universal Characteristic-free Resolution of Singularities, I

Yi Hu

arxiv:2507.21400 v1 · 2025-07-29 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4A7P3FN4QLWCOA6KOXX5KXIFHO}

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	2026-07-05T11:44:58.958814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e03efd95bc82ec2703ca75efd55d053b99b961f8d0d0d1feb6135fab557c84bf

Aliases

arxiv: 2507.21400 · arxiv_version: 2507.21400v1 · doi: 10.48550/arxiv.2507.21400 · pith_short_12: 4A7P3FN4QLWC · pith_short_16: 4A7P3FN4QLWCOA6K · pith_short_8: 4A7P3FN4

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/4A7P3FN4QLWCOA6KOXX5KXIFHO \
  | 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: e03efd95bc82ec2703ca75efd55d053b99b961f8d0d0d1feb6135fab557c84bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "963e662b54e1f68ac5d0f6731a0f0dec247540dc63086cdec9de837a84b85036",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-29T00:16:10Z",
    "title_canon_sha256": "435ac6e50c0bb523fe5d2f0a24132c043d02c8d7009b5aee4d6c9a18b148484e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21400",
    "kind": "arxiv",
    "version": 1
  }
}