Pith Number

pith:FRGJQFFD

pith:2014:FRGJQFFDC4RMJRZPYG36O6HYMM

not attested not anchored not stored refs pending

On homomorphisms from Ringel-Hall algebras to quantum cluster algebras

Fan Xu, Ming Ding, Xueqing Chen

arxiv:1402.4213 v2 · 2014-02-18 · math.RT · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRGJQFFDC4RMJRZPYG36O6HYMM}

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	2026-05-18T01:32:01.289704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4c9814a31722c4c72fc1b7e778f86312a49cb7ec7f88d4b37433534f0bb85f

Aliases

arxiv: 1402.4213 · arxiv_version: 1402.4213v2 · doi: 10.48550/arxiv.1402.4213 · pith_short_12: FRGJQFFDC4RM · pith_short_16: FRGJQFFDC4RMJRZP · pith_short_8: FRGJQFFD

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/FRGJQFFDC4RMJRZPYG36O6HYMM \
  | 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: 2c4c9814a31722c4c72fc1b7e778f86312a49cb7ec7f88d4b37433534f0bb85f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61b5ebbc12b857591336c9f00834219553888d3f7944e15f6b42308c3417f799",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-02-18T02:52:11Z",
    "title_canon_sha256": "16911492c759e823d0d537cd9d2cc39b8ac51ae0feee131557f5778f3aac07e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4213",
    "kind": "arxiv",
    "version": 2
  }
}