Pith Number

pith:SBB6W5OW

pith:2025:SBB6W5OWX457H3X6TWSPRPAP2O

not attested not anchored not stored refs pending

On jet closures of singularities

Huaiqing Zuo, Yifan Chen

arxiv:2507.05796 v1 · 2025-07-08 · math.AC · 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{SBB6W5OWX457H3X6TWSPRPAP2O}

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	2026-07-05T11:33:36.500046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9043eb75d6bf3bf3eefe9da4f8bc0fd3b897a757d002de45a315e751a11a816c

Aliases

arxiv: 2507.05796 · arxiv_version: 2507.05796v1 · doi: 10.48550/arxiv.2507.05796 · pith_short_12: SBB6W5OWX457 · pith_short_16: SBB6W5OWX457H3X6 · pith_short_8: SBB6W5OW

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/SBB6W5OWX457H3X6TWSPRPAP2O \
  | 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: 9043eb75d6bf3bf3eefe9da4f8bc0fd3b897a757d002de45a315e751a11a816c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d68a82fc9478c5a0b33fb294f54be3b1b608cb1d7c0d41e477948b910758c19",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-07-08T08:57:58Z",
    "title_canon_sha256": "293c7f62372394635b159d640900230837399cec885aab00ff8f94ca1b4f73ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05796",
    "kind": "arxiv",
    "version": 1
  }
}