Pith Number

pith:QK6QUEE2

pith:2026:QK6QUEE2JCL73ZJ6OU6ZHCC3IV

not attested not anchored not stored refs pending

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

Weizhe Niu

arxiv:2605.31383 v1 · 2026-05-29 · 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{QK6QUEE2JCL73ZJ6OU6ZHCC3IV}

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	2026-06-01T02:04:02.281537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82bd0a109a4897fde53e753d93885b4544e588cd0f122eeb18b7fdddcc515fc9

Aliases

arxiv: 2605.31383 · arxiv_version: 2605.31383v1 · doi: 10.48550/arxiv.2605.31383 · pith_short_12: QK6QUEE2JCL7 · pith_short_16: QK6QUEE2JCL73ZJ6 · pith_short_8: QK6QUEE2

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/QK6QUEE2JCL73ZJ6OU6ZHCC3IV \
  | 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: 82bd0a109a4897fde53e753d93885b4544e588cd0f122eeb18b7fdddcc515fc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6fd0cfc55624bf39dc5dc411b99c4e4af498c84d7d14506070d74083e50e6dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-29T14:51:05Z",
    "title_canon_sha256": "3c4c2ee466343e206d9f5de1039e343a7a1f53fccb3bee99022e7e9e6287069c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31383",
    "kind": "arxiv",
    "version": 1
  }
}