Pith Number

pith:F7J3ZOS5

pith:2025:F7J3ZOS5EEPU7IXSVCMXUMN22R

not attested not anchored not stored refs pending

Commutative Quantale and Localization

Bangzheng Li, Yichen Xiao

arxiv:2508.02991 v1 · 2025-08-05 · math.RA · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7J3ZOS5EEPU7IXSVCMXUMN22R}

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	2026-07-05T11:48:34.326959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fd3bcba5d211f4fa2f2a8997a31bad46053a0a514b73eea002daacc1951eba2

Aliases

arxiv: 2508.02991 · arxiv_version: 2508.02991v1 · doi: 10.48550/arxiv.2508.02991 · pith_short_12: F7J3ZOS5EEPU · pith_short_16: F7J3ZOS5EEPU7IXS · pith_short_8: F7J3ZOS5

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/F7J3ZOS5EEPU7IXSVCMXUMN22R \
  | 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: 2fd3bcba5d211f4fa2f2a8997a31bad46053a0a514b73eea002daacc1951eba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e68dd86a4127319c13f7ffd1f5f0af379dc61eac0ec7edc6726f9589fd0f29bf",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-08-05T01:37:53Z",
    "title_canon_sha256": "035f0ce89ad7478bfb93ab8b11b30ead9c0c18659fec8ae34939841f08b1dae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.02991",
    "kind": "arxiv",
    "version": 1
  }
}