Pith Number

pith:M5OZPBVQ

pith:2026:M5OZPBVQSSOMEOVFARRQ5A2XGG

not attested not anchored not stored refs pending

Unique asymptotics of $SO(k)\times SO(n-k+1)$ symmetric ancient ovals of Ricci flow

Natasa Sesum, Panagiota Daskalopoulos, Wenkui Du, Ziyi Zhao

arxiv:2607.03383 v1 · 2026-07-03 · 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{M5OZPBVQSSOMEOVFARRQ5A2XGG}

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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	2026-07-07T02:17:40.607085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

675d9786b0949cc23aa504630e8357319f17644293d79458986e9d9d7e31d374

Aliases

arxiv: 2607.03383 · arxiv_version: 2607.03383v1 · doi: 10.48550/arxiv.2607.03383 · pith_short_12: M5OZPBVQSSOM · pith_short_16: M5OZPBVQSSOMEOVF · pith_short_8: M5OZPBVQ

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/M5OZPBVQSSOMEOVFARRQ5A2XGG \
  | 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: 675d9786b0949cc23aa504630e8357319f17644293d79458986e9d9d7e31d374

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c13ea8eee077d1b911a7ab7b1433a104074ca128c5bb4a5c72db5d34af1d557",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-03T14:38:05Z",
    "title_canon_sha256": "2051f85e99889a44ae32d7e3247902d769bb7ae4a5ccca553eb44f5b92538fcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03383",
    "kind": "arxiv",
    "version": 1
  }
}