Pith Number

pith:TKG6BYGN

pith:2015:TKG6BYGNVMT24CGHOZ2PDZCDVG

not attested not anchored not stored refs pending

The Cantor-Bendixson Rank of Certain Bridgeland-Smith Stability Conditions

David Aulicino

arxiv:1512.02336 v3 · 2015-12-08 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKG6BYGNVMT24CGHOZ2PDZCDVG}

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	2026-05-18T01:12:43.326091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a8de0e0cdab27ae08c77674f1e443a9b0acf114f80475f59b02a9bc7c8dd667

Aliases

arxiv: 1512.02336 · arxiv_version: 1512.02336v3 · doi: 10.48550/arxiv.1512.02336 · pith_short_12: TKG6BYGNVMT2 · pith_short_16: TKG6BYGNVMT24CGH · pith_short_8: TKG6BYGN

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/TKG6BYGNVMT24CGHOZ2PDZCDVG \
  | 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: 9a8de0e0cdab27ae08c77674f1e443a9b0acf114f80475f59b02a9bc7c8dd667

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd59d50cbf21d9b499ee5416725fa8802003b589ee8f0e0c809fcc433569c4f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-08T05:44:38Z",
    "title_canon_sha256": "d1fc40f73122ccb3c5f888b414564d093a82211e5731512ce08b0802b9094a36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02336",
    "kind": "arxiv",
    "version": 3
  }
}