Pith Number

pith:2QARSSWS

pith:2006:2QARSSWS3PWR3HUM2VXROS47QA

not attested not anchored not stored refs pending

The geography problem for 4-manifolds with specified fundamental group

Charles Livingston, Paul Kirk

arxiv:math/0608103 v3 · 2006-08-03 · 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{2QARSSWS3PWR3HUM2VXROS47QA}

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	2026-05-18T04:28:08.456272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d401194ad2dbed1d9e8cd56f174b9f8002c9f870c7ecd3e5744c15b0ea16e487

Aliases

arxiv: math/0608103 · arxiv_version: math/0608103v3 · doi: 10.48550/arxiv.math/0608103 · pith_short_12: 2QARSSWS3PWR · pith_short_16: 2QARSSWS3PWR3HUM · pith_short_8: 2QARSSWS

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/2QARSSWS3PWR3HUM2VXROS47QA \
  | 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: d401194ad2dbed1d9e8cd56f174b9f8002c9f870c7ecd3e5744c15b0ea16e487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c56a156a5008dbe13b7f6d138689a4c2b4d17554d1dbfbf091987dba064862be",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-08-03T18:15:41Z",
    "title_canon_sha256": "1a6b528e64180097417dba86ad7799710b93be0c8c238a5f137edb94dff05150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608103",
    "kind": "arxiv",
    "version": 3
  }
}