Pith Number

pith:Z2MBMG74

pith:2024:Z2MBMG74H4VD7ATGEUSXO4RYKA

not attested not anchored not stored refs pending

A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture

Jie Xu, Steven Rosenberg

arxiv:2412.12479 v5 · 2024-12-17 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2MBMG74H4VD7ATGEUSXO4RYKA}

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

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $

Receipt and verification

First computed	2026-07-05T11:29:53.208400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce98161bfc3f2a3f82662525777238502346472061d6e0a6afb9334eccae3036

Aliases

arxiv: 2412.12479 · arxiv_version: 2412.12479v5 · doi: 10.48550/arxiv.2412.12479 · pith_short_12: Z2MBMG74H4VD · pith_short_16: Z2MBMG74H4VD7ATG · pith_short_8: Z2MBMG74

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/Z2MBMG74H4VD7ATGEUSXO4RYKA \
  | 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: ce98161bfc3f2a3f82662525777238502346472061d6e0a6afb9334eccae3036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd2c64a5cb23daf399a3bd51d9d12f0597d304f9f8331f6327f9a11b1893f9cf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-12-17T02:31:36Z",
    "title_canon_sha256": "536e5c63a95fb2b711f949d1d9522251d5d4aaf2fe0b0ee09a67c4bee4999c12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12479",
    "kind": "arxiv",
    "version": 5
  }
}