Pith Number

pith:UJPNJ7PQ

pith:2010:UJPNJ7PQQ7K2S5MR4VD43RICQ7

not attested not anchored not stored refs pending

Universal covers and the GW/Kronecker correspondence

Jacopo Stoppa

arxiv:1011.4897 v2 · 2010-11-22 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJPNJ7PQQ7K2S5MR4VD43RICQ7}

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	2026-05-18T04:07:40.610277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a25ed4fdf087d5a97591e547cdc50287c34bb4d9c1e3e0a99a2bb64844f23d36

Aliases

arxiv: 1011.4897 · arxiv_version: 1011.4897v2 · doi: 10.48550/arxiv.1011.4897 · pith_short_12: UJPNJ7PQQ7K2 · pith_short_16: UJPNJ7PQQ7K2S5MR · pith_short_8: UJPNJ7PQ

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/UJPNJ7PQQ7K2S5MR4VD43RICQ7 \
  | 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: a25ed4fdf087d5a97591e547cdc50287c34bb4d9c1e3e0a99a2bb64844f23d36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97fa69e59c5e8b763bc8e7c42f80add56574b1d235c5314eb641110eb7647761",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-22T18:23:29Z",
    "title_canon_sha256": "57cbaac6634d9143ee52d5bbaa837b2fd3f72166b5edc0c492e4f5babdefed85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4897",
    "kind": "arxiv",
    "version": 2
  }
}