Pith Number

pith:TK6FOUSI

pith:2015:TK6FOUSIV4D6CLFEFDOKWVVDPB

not attested not anchored not stored refs pending

From local Torelli to global Torelli

Kefeng Liu, Yang Shen

arxiv:1512.08384 v4 · 2015-12-28 · 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{TK6FOUSIV4D6CLFEFDOKWVVDPB}

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	2026-05-18T01:06:21.022208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9abc575248af07e12ca428dcab56a378621962df2599d3a9edb5ad52b09522d3

Aliases

arxiv: 1512.08384 · arxiv_version: 1512.08384v4 · doi: 10.48550/arxiv.1512.08384 · pith_short_12: TK6FOUSIV4D6 · pith_short_16: TK6FOUSIV4D6CLFE · pith_short_8: TK6FOUSI

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/TK6FOUSIV4D6CLFEFDOKWVVDPB \
  | 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: 9abc575248af07e12ca428dcab56a378621962df2599d3a9edb5ad52b09522d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47bb72794aa361ab41a1d9e1323d55cc352d49e1919c2726a84abc45c5f00c78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-28T12:11:52Z",
    "title_canon_sha256": "20e3d4b0086ac7a1ee0cddaa7c83828fb4b27ef99896227454a9ba157df47b22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08384",
    "kind": "arxiv",
    "version": 4
  }
}