Pith Number

pith:OPPMK2UT

pith:2012:OPPMK2UTUWPEGDD2HSWKLWLJIJ

not attested not anchored not stored refs pending

Contact 3-manifolds and Ricci solitons

Jong Taek Cho

arxiv:1202.5835 v1 · 2012-02-27 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPPMK2UTUWPEGDD2HSWKLWLJIJ}

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	2026-05-18T04:01:24.519136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73dec56a93a59e430c7a3caca5d969425ece81f6fa4f0fd3bd145d1c20450878

Aliases

arxiv: 1202.5835 · arxiv_version: 1202.5835v1 · doi: 10.48550/arxiv.1202.5835 · pith_short_12: OPPMK2UTUWPE · pith_short_16: OPPMK2UTUWPEGDD2 · pith_short_8: OPPMK2UT

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/OPPMK2UTUWPEGDD2HSWKLWLJIJ \
  | 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: 73dec56a93a59e430c7a3caca5d969425ece81f6fa4f0fd3bd145d1c20450878

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f333997aa5c983c72c3e2aeb2d01c18ddb3c38b338c43ea2370499c63488ebdc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-02-27T07:05:49Z",
    "title_canon_sha256": "7d57a09f86741778e84b00c425967ce11bee61c6c2785c7ac4fdebf811121605"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5835",
    "kind": "arxiv",
    "version": 1
  }
}