Pith Number

pith:O3VXXSPS

pith:2009:O3VXXSPSVCNPBZOR64NWTD3VSP

not attested not anchored not stored refs pending

A vanishing result for a Casson-type instanton invariant

Raphael Zentner

arxiv:0911.2772 v2 · 2009-11-14 · math.GT · 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{O3VXXSPSVCNPBZOR64NWTD3VSP}

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	2026-05-18T00:44:30.661464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76eb7bc9f2a89af0e5d1f71b698f7593f0b1a065ec59098ef12ad31bb838b9cf

Aliases

arxiv: 0911.2772 · arxiv_version: 0911.2772v2 · doi: 10.48550/arxiv.0911.2772 · pith_short_12: O3VXXSPSVCNP · pith_short_16: O3VXXSPSVCNPBZOR · pith_short_8: O3VXXSPS

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/O3VXXSPSVCNPBZOR64NWTD3VSP \
  | 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: 76eb7bc9f2a89af0e5d1f71b698f7593f0b1a065ec59098ef12ad31bb838b9cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b17b484f8dfef7f25943686930beeda0367afae5f5c37165a0eaa9fea121d4eb",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-11-14T12:41:41Z",
    "title_canon_sha256": "d4cd63cbc78ee1d8010fde578b704b548028aa86674b4eef90530fd38f4f6943"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2772",
    "kind": "arxiv",
    "version": 2
  }
}