Pith Number

pith:E6WFQOOA

pith:2026:E6WFQOOARJPCO63W3DZCAQ57WX

not attested not anchored not stored refs pending

Lower bounds on the strength of the determinant

Qiyuan Chen, Yuhao Zhao

arxiv:2607.21015 v1 · 2026-07-23 · math.AC · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E6WFQOOARJPCO63W3DZCAQ57WX}

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	2026-07-24T01:23:47.503202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27ac5839c08a5e277b76d8f22043bfb5e1a047525c6137ca2e0c0433ca6bcd1e

Aliases

arxiv: 2607.21015 · arxiv_version: 2607.21015v1 · doi: 10.48550/arxiv.2607.21015 · pith_short_12: E6WFQOOARJPC · pith_short_16: E6WFQOOARJPCO63W · pith_short_8: E6WFQOOA

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/E6WFQOOARJPCO63W3DZCAQ57WX \
  | 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: 27ac5839c08a5e277b76d8f22043bfb5e1a047525c6137ca2e0c0433ca6bcd1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cc2b4dbabae89b23c343e700308e3bf66f510276840b254c8a6def48eb99372",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-07-23T07:58:01Z",
    "title_canon_sha256": "8e7d657665488e1c0a0458237cec49bbac690cc54d495bb970095bdc7a39a5a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21015",
    "kind": "arxiv",
    "version": 1
  }
}