Pith Number

pith:W6WXU5HX

pith:2013:W6WXU5HXCVNJPF33B4OJSZHFGL

not attested not anchored not stored refs pending

Hurwitz-type bound, knot surgery, and smooth $\s^1$-four-manifolds

Weimin Chen

arxiv:1303.0848 v1 · 2013-03-04 · 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{W6WXU5HXCVNJPF33B4OJSZHFGL}

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	2026-05-18T03:31:53.616129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7ad7a74f7155a97977b0f1c9964e532d140f809b73ee01d1cad5dc80cd21220

Aliases

arxiv: 1303.0848 · arxiv_version: 1303.0848v1 · doi: 10.48550/arxiv.1303.0848 · pith_short_12: W6WXU5HXCVNJ · pith_short_16: W6WXU5HXCVNJPF33 · pith_short_8: W6WXU5HX

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/W6WXU5HXCVNJPF33B4OJSZHFGL \
  | 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: b7ad7a74f7155a97977b0f1c9964e532d140f809b73ee01d1cad5dc80cd21220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca22ca876662eae802acaa0164ed9ddac9e20c690064c48b96c32bdb8bf82ff9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-04T21:02:27Z",
    "title_canon_sha256": "a883fdb2df8aba56e795d7640b0c1dda1787914bbba9d543bf8abc50262d87d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0848",
    "kind": "arxiv",
    "version": 1
  }
}