Pith Number

pith:PXKQZEL5

pith:2019:PXKQZEL5OMAGDTSDBGNSNWPE4U

not attested not anchored not stored refs pending

MMP Via Wall-crossing for Moduli Spaces of Stable Sheaves on an Enriques surface

Howard Nuer, K\=ota Yoshioka

arxiv:1901.04848 v1 · 2019-01-13 · 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{PXKQZEL5OMAGDTSDBGNSNWPE4U}

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	2026-05-17T23:56:21.518588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dd50c917d730061ce43099b26d9e4e519878edd2fef9da8e738287671c4e309

Aliases

arxiv: 1901.04848 · arxiv_version: 1901.04848v1 · doi: 10.48550/arxiv.1901.04848 · pith_short_12: PXKQZEL5OMAG · pith_short_16: PXKQZEL5OMAGDTSD · pith_short_8: PXKQZEL5

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/PXKQZEL5OMAGDTSDBGNSNWPE4U \
  | 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: 7dd50c917d730061ce43099b26d9e4e519878edd2fef9da8e738287671c4e309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82bd9f49c63e2475186af4445bd3e4f34cdc21be554c6df0778d0f9abc4b012a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-01-13T12:51:07Z",
    "title_canon_sha256": "2946e20746d7f9e3ab727c1d385897a6bce971623b55b4d0646179dddf598850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04848",
    "kind": "arxiv",
    "version": 1
  }
}