Pith Number

pith:QOPTEKHS

pith:2011:QOPTEKHS3VR2VZEDD6AWP4QGND

not attested not anchored not stored refs pending

Bridgeland Stability conditions on threefolds I: Bogomolov-Gieseker type inequalities

Arend Bayer, Emanuele Macri, Yukinobu Toda

arxiv:1103.5010 v2 · 2011-03-25 · 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{QOPTEKHS3VR2VZEDD6AWP4QGND}

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	2026-05-18T03:52:28.482171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

839f3228f2dd63aae4831f8167f20668ca9f3ca3abff65ec244c4e27b17ca008

Aliases

arxiv: 1103.5010 · arxiv_version: 1103.5010v2 · doi: 10.48550/arxiv.1103.5010 · pith_short_12: QOPTEKHS3VR2 · pith_short_16: QOPTEKHS3VR2VZED · pith_short_8: QOPTEKHS

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/QOPTEKHS3VR2VZEDD6AWP4QGND \
  | 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: 839f3228f2dd63aae4831f8167f20668ca9f3ca3abff65ec244c4e27b17ca008

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a0cfbc46a1df3468adfe8165532b63ccd05d1a2196f8b091015e1e2e1512ea9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-25T16:13:22Z",
    "title_canon_sha256": "4a4aa98f93f002e42fc298afd1827b05b9c3953a3bc5a23cb1718cea56fdaaea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5010",
    "kind": "arxiv",
    "version": 2
  }
}