Pith Number

pith:VLZIKBLV

pith:2025:VLZIKBLVUGASSYSSLJQIBQCHY4

not attested not anchored not stored refs pending

Duality in tensor-triangular geometry via proxy-smallness

Jordan Williamson, Thomas Peirce

arxiv:2510.24415 v2 · 2025-10-28 · math.CT · math.AC · math.AT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLZIKBLVUGASSYSSLJQIBQCHY4}

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	2026-05-26T02:05:03.733405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaf2850575a1812962525a6080c047c7262abaebd06199e5b5133a818cbd413a

Aliases

arxiv: 2510.24415 · arxiv_version: 2510.24415v2 · doi: 10.48550/arxiv.2510.24415 · pith_short_12: VLZIKBLVUGAS · pith_short_16: VLZIKBLVUGASSYSS · pith_short_8: VLZIKBLV

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/VLZIKBLVUGASSYSSLJQIBQCHY4 \
  | 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: aaf2850575a1812962525a6080c047c7262abaebd06199e5b5133a818cbd413a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd196016a917ee08c838625b487f0ad7f43511e5694c188d5ed8e3b5bb7b6db4",
    "cross_cats_sorted": [
      "math.AC",
      "math.AT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-10-28T13:32:32Z",
    "title_canon_sha256": "ed6a70bcb38be7d2d94b25b982c6650398a847abefe5e504baf35d93ab80615b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.24415",
    "kind": "arxiv",
    "version": 2
  }
}