Pith Number

pith:G3JRJSL4

pith:2017:G3JRJSL45ARKFFOUUKHOYEM5YB

not attested not anchored not stored refs pending

On Exchange Spectra of Valued Cluster Quivers and Cluster Algebras

Fang Li, Siyang Liu

arxiv:1703.02225 v1 · 2017-03-07 · math.RT · math.AC · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G3JRJSL45ARKFFOUUKHOYEM5YB}

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	2026-05-18T00:49:20.456235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36d314c97ce822a295d4a28eec119dc076bc37d3998ebabd91db02308da15ef6

Aliases

arxiv: 1703.02225 · arxiv_version: 1703.02225v1 · doi: 10.48550/arxiv.1703.02225 · pith_short_12: G3JRJSL45ARK · pith_short_16: G3JRJSL45ARKFFOU · pith_short_8: G3JRJSL4

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/G3JRJSL45ARKFFOUUKHOYEM5YB \
  | 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: 36d314c97ce822a295d4a28eec119dc076bc37d3998ebabd91db02308da15ef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58c68589e1dccb526e4ff496fd1733ac46e6658d2bf4fb7649382de6e9d34d1e",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-03-07T05:46:56Z",
    "title_canon_sha256": "fc7fb5ac9112fc36e106ee58d0045af7fe16524c7bc965b06432dcba0ecda761"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02225",
    "kind": "arxiv",
    "version": 1
  }
}