Pith Number

pith:GBBGOEYJ

pith:2016:GBBGOEYJOIFKLHJZWXC6MPO2VO

not attested not anchored not stored refs pending

Local contributions to Donaldson-Thomas invariants

Andrea T. Ricolfi

arxiv:1610.08403 v2 · 2016-10-26 · 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{GBBGOEYJOIFKLHJZWXC6MPO2VO}

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	2026-05-18T00:46:55.432072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3042671309720aa59d39b5c5e63ddaabb58c22a6ad76be3eab026b12f5164535

Aliases

arxiv: 1610.08403 · arxiv_version: 1610.08403v2 · doi: 10.48550/arxiv.1610.08403 · pith_short_12: GBBGOEYJOIFK · pith_short_16: GBBGOEYJOIFKLHJZ · pith_short_8: GBBGOEYJ

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/GBBGOEYJOIFKLHJZWXC6MPO2VO \
  | 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: 3042671309720aa59d39b5c5e63ddaabb58c22a6ad76be3eab026b12f5164535

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a09ab9da818171a6a97a8db9f3d598daa89f086d6aa3d7a7595af5d6c13446b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-26T16:30:54Z",
    "title_canon_sha256": "89b88a55e5f6bc675b616515daaa62b8e88687f95ed5a3270ce1d83370bdd81a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08403",
    "kind": "arxiv",
    "version": 2
  }
}