Pith Number

pith:ILMALQVX

pith:2026:ILMALQVXMY4HJEDQX2WIVI4WJQ

not attested not anchored not stored refs pending

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

Jie Xu

arxiv:2607.08621 v1 · 2026-07-09 · 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{ILMALQVXMY4HJEDQX2WIVI4WJQ}

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	2026-07-10T01:19:55.713889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d805c2b76638749070beac8aa3964c2fd3272b7efc354c357b3ab0e4a33dc3

Aliases

arxiv: 2607.08621 · arxiv_version: 2607.08621v1 · doi: 10.48550/arxiv.2607.08621 · pith_short_12: ILMALQVXMY4H · pith_short_16: ILMALQVXMY4HJEDQ · pith_short_8: ILMALQVX

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/ILMALQVXMY4HJEDQX2WIVI4WJQ \
  | 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: 42d805c2b76638749070beac8aa3964c2fd3272b7efc354c357b3ab0e4a33dc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "057c9d029e03affe793ff5672c9bad7e4e510052f86f436584d5b0a1111107a4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-09T15:54:14Z",
    "title_canon_sha256": "b3139b7c6e6a2f101b8ce3c91de484811a65d1bed601c24e5918d9ba691c6c5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08621",
    "kind": "arxiv",
    "version": 1
  }
}