Pith Number

pith:ZQACRGBR

pith:2009:ZQACRGBRW2PTFIBYA24KPH7LBH

not attested not anchored not stored refs pending

On the geography of symplectic 4-manifolds with divisible canonical class

M. J. D. Hamilton

arxiv:0901.2734 v1 · 2009-01-19 · math.SG · 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{ZQACRGBRW2PTFIBYA24KPH7LBH}

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	2026-05-17T23:52:19.561044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc00289831b69f32a03806b8a79feb09f7845c703ace4bd4fe6c73285d3311ec

Aliases

arxiv: 0901.2734 · arxiv_version: 0901.2734v1 · doi: 10.48550/arxiv.0901.2734 · pith_short_12: ZQACRGBRW2PT · pith_short_16: ZQACRGBRW2PTFIBY · pith_short_8: ZQACRGBR

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/ZQACRGBRW2PTFIBYA24KPH7LBH \
  | 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: cc00289831b69f32a03806b8a79feb09f7845c703ace4bd4fe6c73285d3311ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "256c89625ec81b43075a582bb821e33b589f20f1117d60af2c119c65d8bcef54",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-01-19T19:04:17Z",
    "title_canon_sha256": "4f9ae031bdb1d0f51edd2a5e21def866740859be20aa0a3e20fd96809e3ea489"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.2734",
    "kind": "arxiv",
    "version": 1
  }
}