Pith Number

pith:JAEP3YJR

pith:2014:JAEP3YJRKYCTNZLGYQSPSH2X5N

not attested not anchored not stored refs pending

Wall crossing for derived categories of moduli spaces of sheaves on rational surfaces

Matthew Robert Ballard

arxiv:1412.4424 v1 · 2014-12-14 · 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{JAEP3YJRKYCTNZLGYQSPSH2X5N}

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	2026-05-18T02:31:19.245760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4808fde131560536e566c424f91f57eb7e75dadf98e31c639cb4b8a1e9acf52a

Aliases

arxiv: 1412.4424 · arxiv_version: 1412.4424v1 · doi: 10.48550/arxiv.1412.4424 · pith_short_12: JAEP3YJRKYCT · pith_short_16: JAEP3YJRKYCTNZLG · pith_short_8: JAEP3YJR

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/JAEP3YJRKYCTNZLGYQSPSH2X5N \
  | 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: 4808fde131560536e566c424f91f57eb7e75dadf98e31c639cb4b8a1e9acf52a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b90d854dbcd37ed5e773ae4091dcf683c477d32bda6de144224a9afdeaf520f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-14T23:11:47Z",
    "title_canon_sha256": "308d1b45e58fee76849bdb9041ccb8d90aad7b23c1ddb2ff263ab4f0131e086f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4424",
    "kind": "arxiv",
    "version": 1
  }
}