Pith Number

pith:4GU4VODD

pith:2012:4GU4VODDRRPJZL22EZ44RDO542

not attested not anchored not stored refs pending

Combinatorial realizations of crystals via torus actions on quiver varieties

Peter Tingley, Steven V Sam

arxiv:1205.5847 v3 · 2012-05-26 · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GU4VODDRRPJZL22EZ44RDO542}

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	2026-05-18T03:00:37.524663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a9cab8638c5e9caf5a2679c88ddde6b50972ed1ef4e0a8acfc9f8e7f3fde3a

Aliases

arxiv: 1205.5847 · arxiv_version: 1205.5847v3 · doi: 10.48550/arxiv.1205.5847 · pith_short_12: 4GU4VODDRRPJ · pith_short_16: 4GU4VODDRRPJZL22 · pith_short_8: 4GU4VODD

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/4GU4VODDRRPJZL22EZ44RDO542 \
  | 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: e1a9cab8638c5e9caf5a2679c88ddde6b50972ed1ef4e0a8acfc9f8e7f3fde3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e97f23242d520ff3d1bac0b8b5a20972a729b4b9d7713a74edd5b058a50e0415",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-26T02:09:34Z",
    "title_canon_sha256": "c4c929d1bd68e7c5a773c450b635e3e8e8e52a1488b9a562ff8b093a6bb70a53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5847",
    "kind": "arxiv",
    "version": 3
  }
}