Pith Number

pith:2JARR2UR

pith:2013:2JARR2URKDVSDRYFW33I7OXXER

not attested not anchored not stored refs pending

The torsion flow on a closed pseudohermitian 3-manifold

Chin-Tung Wu, Otto van Koert, Shu-Cheng Chang

arxiv:1305.5391 v2 · 2013-05-23 · math.DG · math.CV · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JARR2URKDVSDRYFW33I7OXXER}

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	2026-05-18T03:01:25.310207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d24118ea9150eb21c705b6f68fbaf7245dfb9d90cc320dbfac672b35bcbc34f8

Aliases

arxiv: 1305.5391 · arxiv_version: 1305.5391v2 · doi: 10.48550/arxiv.1305.5391 · pith_short_12: 2JARR2URKDVS · pith_short_16: 2JARR2URKDVSDRYF · pith_short_8: 2JARR2UR

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/2JARR2URKDVSDRYFW33I7OXXER \
  | 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: d24118ea9150eb21c705b6f68fbaf7245dfb9d90cc320dbfac672b35bcbc34f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "195a0f890555f08523f533cf3a5d8f0bb331f05b8bd7181ceeb6a818adfd3bff",
    "cross_cats_sorted": [
      "math.CV",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-23T12:04:43Z",
    "title_canon_sha256": "7b95765c1322bf1b87a4f2dc7fd590c85515b38db8729ba964cb52d4ddfea6bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5391",
    "kind": "arxiv",
    "version": 2
  }
}