Pith Number

pith:23ZI3HOQ

pith:2026:23ZI3HOQSBDUBZ6C4ZTUOP6ZCZ

not attested not anchored not stored refs pending

Homotopy Coherent Nielsen Realization Problem for Dehn Twists on K3-Type 4-Manifolds

Yi Sha, Yujie Lin

arxiv:2606.24482 v1 · 2026-06-23 · 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{23ZI3HOQSBDUBZ6C4ZTUOP6ZCZ}

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	2026-06-24T01:15:31.821055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6f28d9dd0904740e7c2e667473fd91650358aef666b86ca909fcb9ad1a0e6ff

Aliases

arxiv: 2606.24482 · arxiv_version: 2606.24482v1 · doi: 10.48550/arxiv.2606.24482 · pith_short_12: 23ZI3HOQSBDU · pith_short_16: 23ZI3HOQSBDUBZ6C · pith_short_8: 23ZI3HOQ

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/23ZI3HOQSBDUBZ6C4ZTUOP6ZCZ \
  | 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: d6f28d9dd0904740e7c2e667473fd91650358aef666b86ca909fcb9ad1a0e6ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4075b4bfd4a4ef9719d435bf7a19e5c9858919fcab3f4558836472de7c947f32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-23T12:18:10Z",
    "title_canon_sha256": "06a5718f53742424ec4003fd12cbea13af2376620154ee1b5666623dbcc4b3e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24482",
    "kind": "arxiv",
    "version": 1
  }
}