Pith Number

pith:2T4U7IFS

pith:2011:2T4U7IFS373B2KJSMDE2E3VYWY

not attested not anchored not stored refs pending

Quantum cluster variables via vanishing cycles

Alexander I. Efimov

arxiv:1112.3601 v2 · 2011-12-15 · math.AG · math.QA · 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{2T4U7IFS373B2KJSMDE2E3VYWY}

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	2026-05-18T04:05:58.785792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4f94fa0b2dff61d293260c9a26eb8b60ed8b16c87bdbc0b40e21fbf6534f36a

Aliases

arxiv: 1112.3601 · arxiv_version: 1112.3601v2 · doi: 10.48550/arxiv.1112.3601 · pith_short_12: 2T4U7IFS373B · pith_short_16: 2T4U7IFS373B2KJS · pith_short_8: 2T4U7IFS

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/2T4U7IFS373B2KJSMDE2E3VYWY \
  | 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: d4f94fa0b2dff61d293260c9a26eb8b60ed8b16c87bdbc0b40e21fbf6534f36a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c9aedc76ab0dce5bc4d99f62e89caedb9fa1afc64562116b20789650ad0af37",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-15T18:43:45Z",
    "title_canon_sha256": "b50a2eaa5e2068d12ea9289433d2c964bfd729e50c509c3de406e84548632d3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3601",
    "kind": "arxiv",
    "version": 2
  }
}