Pith Number

pith:QPQL2DVW

pith:2013:QPQL2DVWIVJEM2VXZD5PC3N5AG

not attested not anchored not stored refs pending

Chow Rings of Fine Quiver Moduli are Tautologically Presented

Hans Franzen

arxiv:1307.3066 v2 · 2013-07-11 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPQL2DVWIVJEM2VXZD5PC3N5AG}

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	2026-05-18T02:29:23.658112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e0bd0eb64552466ab7c8faf16dbd0197ea522bed71e1d202c9d3757dfe69dd

Aliases

arxiv: 1307.3066 · arxiv_version: 1307.3066v2 · doi: 10.48550/arxiv.1307.3066 · pith_short_12: QPQL2DVWIVJE · pith_short_16: QPQL2DVWIVJEM2VX · pith_short_8: QPQL2DVW

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/QPQL2DVWIVJEM2VXZD5PC3N5AG \
  | 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: 83e0bd0eb64552466ab7c8faf16dbd0197ea522bed71e1d202c9d3757dfe69dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce7b8e6eee71e933618c2318ba9fc9bec7ebf2107a6b0f12f29d845da2f0d1a0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-07-11T11:39:25Z",
    "title_canon_sha256": "f5df90868784a0ea5e15b5571f4b6932f713ee19c014684c75203d8288b65277"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3066",
    "kind": "arxiv",
    "version": 2
  }
}