Pith Number

pith:4CKCMKI5

pith:2009:4CKCMKI5AHKSZTJALKQLYWQSDW

not attested not anchored not stored refs pending

The space of stability conditions on the local projective plane

Arend Bayer, Emanuele Macri

arxiv:0912.0043 v2 · 2009-12-01 · 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{4CKCMKI5AHKSZTJALKQLYWQSDW}

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

BPS Dendroscopy on Local $\mathbb{P}^1\times \mathbb{P}^1$

Receipt and verification

First computed	2026-07-05T00:26:52.195299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e09426291d01d52ccd205aa0bc5a121db6df67f587bada65e7ae75fbcf998749

Aliases

arxiv: 0912.0043 · arxiv_version: 0912.0043v2 · doi: 10.48550/arxiv.0912.0043 · pith_short_12: 4CKCMKI5AHKS · pith_short_16: 4CKCMKI5AHKSZTJA · pith_short_8: 4CKCMKI5

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/4CKCMKI5AHKSZTJALKQLYWQSDW \
  | 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: e09426291d01d52ccd205aa0bc5a121db6df67f587bada65e7ae75fbcf998749

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89431609f6cd79cbcd6a67eecbe7458bc07150595d53abf6601ae410b8d58316",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-01T00:11:42Z",
    "title_canon_sha256": "bb70e0a6b0bd0be1a3b0cc98e81ee0ab6fa06429cbf9663899de0f090bde8dde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0043",
    "kind": "arxiv",
    "version": 2
  }
}