Pith Number

pith:PQI2YMSK

pith:2025:PQI2YMSKIGYASFHK4S63JL6D4S

not attested not anchored not stored refs pending

Instanton 2-torsion and Dehn surgeries

Fan Ye, Zhenkun Li

arxiv:2508.03394 v1 · 2025-08-05 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQI2YMSKIGYASFHK4S63JL6D4S}

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	2026-07-05T11:48:55.634599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c11ac324a41b00914eae4bdb4afc3e4b7f364e30b24668eeba223b25f404544

Aliases

arxiv: 2508.03394 · arxiv_version: 2508.03394v1 · doi: 10.48550/arxiv.2508.03394 · pith_short_12: PQI2YMSKIGYA · pith_short_16: PQI2YMSKIGYASFHK · pith_short_8: PQI2YMSK

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/PQI2YMSKIGYASFHK4S63JL6D4S \
  | 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: 7c11ac324a41b00914eae4bdb4afc3e4b7f364e30b24668eeba223b25f404544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aeadbc5d79f7b2b8f76376c811465c3850736b7e7345565f03b8096b3a1ed3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-08-05T12:43:05Z",
    "title_canon_sha256": "e2d76eb56bd5c7cf1d399f48d9cedbbb9c43cc2182b7eea62efa7ff26e83314d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.03394",
    "kind": "arxiv",
    "version": 1
  }
}