Pith Number

pith:QYARO7NP

pith:2026:QYARO7NPAS6OXTJG55KSEF5SOJ

not attested not anchored not stored refs pending

Criteria of isolated weighted homogeneous hypersurface singularities using Logarithmic vector fields

Jihao Liu, Xiping Zhang

arxiv:2606.29891 v1 · 2026-06-29 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QYARO7NPAS6OXTJG55KSEF5SOJ}

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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.

Cited by

2 papers in Pith

Danus: Orchestrating Mathematical Reasoning Agents with Fact-Graph Memory

Receipt and verification

First computed	2026-06-30T02:17:39.744157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8601177daf04bcebcd26ef552217b2726acea73f0f2e3246c03ed7eac79ee169

Aliases

arxiv: 2606.29891 · arxiv_version: 2606.29891v1 · doi: 10.48550/arxiv.2606.29891 · pith_short_12: QYARO7NPAS6O · pith_short_16: QYARO7NPAS6OXTJG · pith_short_8: QYARO7NP

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/QYARO7NPAS6OXTJG55KSEF5SOJ \
  | 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: 8601177daf04bcebcd26ef552217b2726acea73f0f2e3246c03ed7eac79ee169

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e89ec971f37f8b84d5caf5707ac360296f6305bb1c246857edb3658ce4b53eb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-29T07:31:00Z",
    "title_canon_sha256": "c66bc7987c8b988ba0de6d86e39a9bb0f191790895375a5b65c0c3e7b7372b7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29891",
    "kind": "arxiv",
    "version": 1
  }
}