Pith Number

pith:5YWNN6P5

pith:2026:5YWNN6P54ZGQYGA2DILWAXMZMD

not attested not anchored not stored refs pending

The Telescope Conjecture for Global Representations and FI-modules

Peng Xu

arxiv:2607.15586 v1 · 2026-07-17 · math.CT · 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{5YWNN6P54ZGQYGA2DILWAXMZMD}

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	2026-07-20T00:18:41.714873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee2cd6f9fde64d0c181a1a17605d9960c421d01d1e48068f0b8460ea5a988b28

Aliases

arxiv: 2607.15586 · arxiv_version: 2607.15586v1 · doi: 10.48550/arxiv.2607.15586 · pith_short_12: 5YWNN6P54ZGQ · pith_short_16: 5YWNN6P54ZGQYGA2 · pith_short_8: 5YWNN6P5

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/5YWNN6P54ZGQYGA2DILWAXMZMD \
  | 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: ee2cd6f9fde64d0c181a1a17605d9960c421d01d1e48068f0b8460ea5a988b28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2e351713583aef98c5a2e0e3c7eb45246400cead7c6f9eca27fcfdb2c3ce0e9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-07-17T03:11:15Z",
    "title_canon_sha256": "961b6172861b70598ce2bd4008accdf7b904e1c5893fb684661071b858d8610a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15586",
    "kind": "arxiv",
    "version": 1
  }
}