Pith Number

pith:2WDE6FBT

pith:2009:2WDE6FBTYNKC4PBRKHY7YBYLP6

not attested not anchored not stored refs pending

On the geography and botany of irreducible nonspin 4-manifolds with abelian fundamental group

Rafael Torres

arxiv:0903.5503 v3 · 2009-03-31 · 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{2WDE6FBTYNKC4PBRKHY7YBYLP6}

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	2026-05-18T03:21:20.934003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5864f1433c3542e3c3151f1fc070b7fb735872bc9cbd73aced2549f640edd57

Aliases

arxiv: 0903.5503 · arxiv_version: 0903.5503v3 · doi: 10.48550/arxiv.0903.5503 · pith_short_12: 2WDE6FBTYNKC · pith_short_16: 2WDE6FBTYNKC4PBR · pith_short_8: 2WDE6FBT

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/2WDE6FBTYNKC4PBRKHY7YBYLP6 \
  | 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: d5864f1433c3542e3c3151f1fc070b7fb735872bc9cbd73aced2549f640edd57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea87d232ff3db50faf88b4b9d6df5047a5fed9666779074b669e36a63c508bf2",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-03-31T15:40:06Z",
    "title_canon_sha256": "79c59e7ae46276fb88a770de01cf63c1206d9a0808259e1d1253f0b85eb5602c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5503",
    "kind": "arxiv",
    "version": 3
  }
}