Pith Number

pith:JOA6XOKS

pith:2004:JOA6XOKS2TZ26BLPLZV4MIRVYY

not attested not anchored not stored refs pending

Some examples of spaces of stability conditions on derived categories

Emanuele Macri

arxiv:math/0411613 v3 · 2004-11-27 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOA6XOKS2TZ26BLPLZV4MIRVYY}

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.

Cited by

1 paper in Pith

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line

Receipt and verification

First computed	2026-07-04T14:59:35.062054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b81ebb952d4f3af056f5e6bc62235c6053693b722f096749e07a04eb1d2c3cb

Aliases

arxiv: math/0411613 · arxiv_version: math/0411613v3 · doi: 10.48550/arxiv.math/0411613 · pith_short_12: JOA6XOKS2TZ2 · pith_short_16: JOA6XOKS2TZ26BLP · pith_short_8: JOA6XOKS

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/JOA6XOKS2TZ26BLPLZV4MIRVYY \
  | 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: 4b81ebb952d4f3af056f5e6bc62235c6053693b722f096749e07a04eb1d2c3cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7187e7bac88d3f2871425cc5956729a6addb6f82fdd8e56bf160c083f9806de6",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-11-27T14:59:06Z",
    "title_canon_sha256": "27d3f1dbd5c10aaab65fd9e75e808516d0659df8df44eb4d3265fbf3f56c454e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411613",
    "kind": "arxiv",
    "version": 3
  }
}