Pith. sign in
Pith Number

pith:UPY5ND4L

pith:2024:UPY5ND4LZFAPV3KNAPZLIHSEKC
not attested not anchored not stored refs pending

Classification of ancient noncollapsed flows in $\mathbb{R}^4$

Kyeongsu Choi, Robert Haslhofer

arxiv:2412.10581 v2 · 2024-12-13 · math.DG · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UPY5ND4LZFAPV3KNAPZLIHSEKC}

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

Receipt and verification
First computed 2026-07-05T09:56:57.668396Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a3f1d68f8bc940faed4d03f2b41e44509697ee8c845f2e66656e5ea5e0f44cb0

Aliases

arxiv: 2412.10581 · arxiv_version: 2412.10581v2 · doi: 10.48550/arxiv.2412.10581 · pith_short_12: UPY5ND4LZFAP · pith_short_16: UPY5ND4LZFAPV3KN · pith_short_8: UPY5ND4L
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UPY5ND4LZFAPV3KNAPZLIHSEKC \
  | 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: a3f1d68f8bc940faed4d03f2b41e44509697ee8c845f2e66656e5ea5e0f44cb0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6c974ec2144bb484cd01a9ee95aa0d85b643ddba6fe28ce9b8a30b8c1639f778",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-12-13T21:48:50Z",
    "title_canon_sha256": "7b8ae29fe99194cffd8ceebb87b3db8d2e264c067acf14fe15ac8076953350f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.10581",
    "kind": "arxiv",
    "version": 2
  }
}