Pith Number

pith:OP2WNO46

pith:2025:OP2WNO46YVVVXLGHAXA3R3CU56

not attested not anchored not stored refs pending

Surfaces in 4-manifolds and extendible mapping classes

Kuldeep Saha, Shital Lawande

arxiv:2502.17640 v2 · 2025-02-24 · 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{OP2WNO46YVVVXLGHAXA3R3CU56}

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.

Cited by

2 papers in Pith

Extendable mapping classes of knotted surfaces obtained by rim surgery in $S^4$

Receipt and verification

First computed	2026-07-05T10:20:45.414358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f566bb9ec56b5bacc705c1b8ec54efa981974ca6c5021e1702a2eb4f0612e2

Aliases

arxiv: 2502.17640 · arxiv_version: 2502.17640v2 · doi: 10.48550/arxiv.2502.17640 · pith_short_12: OP2WNO46YVVV · pith_short_16: OP2WNO46YVVVXLGH · pith_short_8: OP2WNO46

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/OP2WNO46YVVVXLGHAXA3R3CU56 \
  | 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: 73f566bb9ec56b5bacc705c1b8ec54efa981974ca6c5021e1702a2eb4f0612e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d1446248772376536b727479f068da29ff34f94a15446122747461fa43a51a8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-02-24T20:38:35Z",
    "title_canon_sha256": "58cede32ac0bcbfab90a224527cf2ec0be936a858e9f25777aeefb29fc163a4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.17640",
    "kind": "arxiv",
    "version": 2
  }
}