Pith Number

pith:WRPAEHCU

pith:2026:WRPAEHCUV3LT5QVMR3ULVC2JDF

not attested not anchored not stored refs pending

SDP Feasibility Problems and sos Representation Ranks for OT-FKM Type Isoparametric Polynomials

Jianquan Ge, Kai Jia, Yuyang Zhao

arxiv:2603.21241 v2 · 2026-03-22 · math.DG · math.AG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRPAEHCUV3LT5QVMR3ULVC2JDF}

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	2026-06-19T16:11:22.330179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b45e021c54aed73ec2ac8ee8ba8b491971104f634c4ca0b4cda6619686ebdd60

Aliases

arxiv: 2603.21241 · arxiv_version: 2603.21241v2 · doi: 10.48550/arxiv.2603.21241 · pith_short_12: WRPAEHCUV3LT · pith_short_16: WRPAEHCUV3LT5QVM · pith_short_8: WRPAEHCU

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/WRPAEHCUV3LT5QVMR3ULVC2JDF \
  | 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: b45e021c54aed73ec2ac8ee8ba8b491971104f634c4ca0b4cda6619686ebdd60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08ba667cefb5d00da6592260499df9f1f63ebb4d021acc08b29e258a0a68bca1",
    "cross_cats_sorted": [
      "math.AG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-03-22T13:58:28Z",
    "title_canon_sha256": "d7566c832b84adc9d4eff70da6cf477ebb8b0e971b9c4c19b452823f182a09b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.21241",
    "kind": "arxiv",
    "version": 2
  }
}