Pith Number

pith:QGGHTBYI

pith:2011:QGGHTBYIWAIVTGWSWTMYNSB7S4

not attested not anchored not stored refs pending

Combinatorial frameworks for cluster algebras

David E Speyer, Nathan Reading

arxiv:1111.2652 v3 · 2011-11-11 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGGHTBYIWAIVTGWSWTMYNSB7S4}

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.

Cited by

1 paper in Pith

Local and global patterns of rank 3 $G$-fans of totally-infinite type

Receipt and verification

First computed	2026-05-18T02:38:53.371812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

818c798708b011599ad2b4d986c83f9735869596fae0d29e9e47ffd0db38aa5a

Aliases

arxiv: 1111.2652 · arxiv_version: 1111.2652v3 · doi: 10.48550/arxiv.1111.2652 · pith_short_12: QGGHTBYIWAIV · pith_short_16: QGGHTBYIWAIVTGWS · pith_short_8: QGGHTBYI

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/QGGHTBYIWAIVTGWSWTMYNSB7S4 \
  | 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: 818c798708b011599ad2b4d986c83f9735869596fae0d29e9e47ffd0db38aa5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "373e0d6623a92d272993496d9b0b4e113bb999e92d83789414cbf01aa0414dee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-11T03:00:13Z",
    "title_canon_sha256": "9976fe02bbd17a112154d3eb7a32a856f5d58a01319181071295d90c2d3fb3e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2652",
    "kind": "arxiv",
    "version": 3
  }
}