Pith Number

pith:PFGOCS6K

pith:2008:PFGOCS6KJ2QFHJZINQAHAQXZ37

not attested not anchored not stored refs pending

Comparing 2-handle additions to a genus 2 boundary component

Scott A. Taylor

arxiv:0806.1572 v3 · 2008-06-10 · 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{PFGOCS6KJ2QFHJZINQAHAQXZ37}

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	2026-05-18T04:12:21.420030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794ce14bca4ea053a7286c007042f9dff6b0b61d60358c4a667278f757280b8a

Aliases

arxiv: 0806.1572 · arxiv_version: 0806.1572v3 · doi: 10.48550/arxiv.0806.1572 · pith_short_12: PFGOCS6KJ2QF · pith_short_16: PFGOCS6KJ2QFHJZI · pith_short_8: PFGOCS6K

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/PFGOCS6KJ2QFHJZINQAHAQXZ37 \
  | 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: 794ce14bca4ea053a7286c007042f9dff6b0b61d60358c4a667278f757280b8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02ddaaa8c78dae526d5e50504d0199200278ff2bdef63accd07b2c7c6d283dc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-06-10T05:43:38Z",
    "title_canon_sha256": "f9fc5a374d0743b5f69fdbfb6a196cf84d7d0c56a6578402b5ce799178de98ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.1572",
    "kind": "arxiv",
    "version": 3
  }
}