Pith Number

pith:OPSTVHKS

pith:2020:OPSTVHKSL42UNOR7CK46ST37H6

not attested not anchored not stored refs pending

Virasoro conjecture for the stable pairs descendent theory of simply connected 3-folds (with applications to the Hilbert scheme of points of a surface)

Miguel Moreira

arxiv:2008.13746 v2 · 2020-08-31 · 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{OPSTVHKSL42UNOR7CK46ST37H6}

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	2026-07-05T04:04:18.426675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73e53a9d525f3546ba3f12b9e94f7f3fbbfb59f64ea9f317bac2d8ca7804be00

Aliases

arxiv: 2008.13746 · arxiv_version: 2008.13746v2 · doi: 10.48550/arxiv.2008.13746 · pith_short_12: OPSTVHKSL42U · pith_short_16: OPSTVHKSL42UNOR7 · pith_short_8: OPSTVHKS

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/OPSTVHKSL42UNOR7CK46ST37H6 \
  | 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: 73e53a9d525f3546ba3f12b9e94f7f3fbbfb59f64ea9f317bac2d8ca7804be00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24a44d1dc32ac3ba6f580b526e6a66b71cabab0633af986ef315e367ad36510a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-08-31T17:08:40Z",
    "title_canon_sha256": "6c328c5fc6e0f81b8a8cb5314b888cc32eba840f21c9c25adc1d54aabd5513a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.13746",
    "kind": "arxiv",
    "version": 2
  }
}