Pith Number

pith:ZUQFC2XC

pith:2015:ZUQFC2XCXBOH2ZLT455MKGBCKF

not attested not anchored not stored refs pending

Lefschetz fibrations on knot surgery $4$-manifolds via Stallings twist

Jongil Park, Ki-Heon Yun

arxiv:1503.06272 v1 · 2015-03-21 · 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{ZUQFC2XCXBOH2ZLT455MKGBCKF}

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	2026-05-18T02:20:38.874888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd20516ae2b85c7d6573e77ac518225159a01f8d5144fa58bba7446906e133a9

Aliases

arxiv: 1503.06272 · arxiv_version: 1503.06272v1 · doi: 10.48550/arxiv.1503.06272 · pith_short_12: ZUQFC2XCXBOH · pith_short_16: ZUQFC2XCXBOH2ZLT · pith_short_8: ZUQFC2XC

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/ZUQFC2XCXBOH2ZLT455MKGBCKF \
  | 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: cd20516ae2b85c7d6573e77ac518225159a01f8d5144fa58bba7446906e133a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e29ade60da5304429f2e518ca15e3c861648324c3dcbb383263f2143e74637f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-03-21T06:44:51Z",
    "title_canon_sha256": "4c7a255babdd906aecd8f0853b2cbd779f3790cab7434ea4c266ed80c7cad846"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06272",
    "kind": "arxiv",
    "version": 1
  }
}