Pith Number

pith:HGV3C3LN

pith:2026:HGV3C3LNFC4EOVS4HTAUJXOW6P

not attested not anchored not stored refs pending

On higher extensions of quiver representations over $\mathbb{F}_1$

Changjian Fu, Liang Yang, Zhiyuan Zeng

arxiv:2606.03086 v1 · 2026-06-02 · 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{HGV3C3LNFC4EOVS4HTAUJXOW6P}

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	2026-06-03T01:05:31.234075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39abb16d6d28b847565c3cc144ddd6f3e209902fa68da435bc45a9c22b454b09

Aliases

arxiv: 2606.03086 · arxiv_version: 2606.03086v1 · doi: 10.48550/arxiv.2606.03086 · pith_short_12: HGV3C3LNFC4E · pith_short_16: HGV3C3LNFC4EOVS4 · pith_short_8: HGV3C3LN

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/HGV3C3LNFC4EOVS4HTAUJXOW6P \
  | 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: 39abb16d6d28b847565c3cc144ddd6f3e209902fa68da435bc45a9c22b454b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "872d069274714f4abe00ff50fa18c3cf494d743dd0714ad171b1056fbc053ddf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-02T03:15:39Z",
    "title_canon_sha256": "451c3050cf648e9846213b7d5fb254c0665f559158bd3aba8058b52f30a10934"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03086",
    "kind": "arxiv",
    "version": 1
  }
}