Pith Number

pith:GFZJ6L2V

pith:2011:GFZJ6L2VPP3F6SH65R7ZC2HPHH

not attested not anchored not stored refs pending

A refinement of the A-polynomial of quivers

Fernando Rodriguez Villegas

arxiv:1102.5308 v1 · 2011-02-25 · 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{GFZJ6L2VPP3F6SH65R7ZC2HPHH}

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

Explicit classes in Habiro cohomology

Receipt and verification

First computed	2026-05-18T00:19:49.373935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31729f2f557bf65f48feec7f9168ef39d7634a80c5b94f649c6643fdd1c21b66

Aliases

arxiv: 1102.5308 · arxiv_version: 1102.5308v1 · doi: 10.48550/arxiv.1102.5308 · pith_short_12: GFZJ6L2VPP3F · pith_short_16: GFZJ6L2VPP3F6SH6 · pith_short_8: GFZJ6L2V

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/GFZJ6L2VPP3F6SH65R7ZC2HPHH \
  | 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: 31729f2f557bf65f48feec7f9168ef39d7634a80c5b94f649c6643fdd1c21b66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f511b7f45d4a6b6dc48ea26a475eb5fc22c2c1303ceff53b2e4fbdf59d7bed51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-02-25T18:41:10Z",
    "title_canon_sha256": "a9341a0ed95ff376c4189017ffc4cf0874af6e93bf94b325476eda1f567ee171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5308",
    "kind": "arxiv",
    "version": 1
  }
}