Pith Number

pith:4AYSHEEH

pith:2026:4AYSHEEHXM5B63YBUFBNQWVHMT

not attested not anchored not stored refs pending

Uncountably many non-rotationally symmetric type II ancient Yamabe flows on the sphere

Haixia Chen, Monica Musso, Seunghyeok Kim

arxiv:2606.22355 v1 · 2026-06-21 · math.AP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AYSHEEHXM5B63YBUFBNQWVHMT}

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	2026-06-23T02:13:35.674917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e031239087bb3a1f6f01a142d85aa764c48452dc217d0b280f90dfa6a60c059f

Aliases

arxiv: 2606.22355 · arxiv_version: 2606.22355v1 · doi: 10.48550/arxiv.2606.22355 · pith_short_12: 4AYSHEEHXM5B · pith_short_16: 4AYSHEEHXM5B63YB · pith_short_8: 4AYSHEEH

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/4AYSHEEHXM5B63YBUFBNQWVHMT \
  | 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: e031239087bb3a1f6f01a142d85aa764c48452dc217d0b280f90dfa6a60c059f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0a97cbdd1f5bf358b318f16764c42beb4483da659594fd3d7c2c67c9c64da1d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-21T06:27:51Z",
    "title_canon_sha256": "46f056c25ed1f8d772b467c44793cf412c0668ff3ab547e596d474eb11fdbdfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22355",
    "kind": "arxiv",
    "version": 1
  }
}