Pith Number

pith:7USEQE2D

pith:2013:7USEQE2DLKLE2YFFBBEIAYDBJO

not attested not anchored not stored refs pending

Kaehlerian three-manifold groups

D. Kotschick

arxiv:1301.1311 v1 · 2013-01-07 · math.GT · math.AG · math.CV · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7USEQE2DLKLE2YFFBBEIAYDBJO}

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	2026-05-18T03:02:35.471068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd244813435a964d60a508488060614b99933110a2344a842457df82fa4153ac

Aliases

arxiv: 1301.1311 · arxiv_version: 1301.1311v1 · doi: 10.48550/arxiv.1301.1311 · pith_short_12: 7USEQE2DLKLE · pith_short_16: 7USEQE2DLKLE2YFF · pith_short_8: 7USEQE2D

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/7USEQE2DLKLE2YFFBBEIAYDBJO \
  | 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: fd244813435a964d60a508488060614b99933110a2344a842457df82fa4153ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee2b08b9ea047b9556e26e86fba2c01704d624304de60083b629fe8c52ee7949",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-01-07T19:26:50Z",
    "title_canon_sha256": "674aad1d55f13b0a2b714b47e279f2cbae66cf9117fc6e3cb5764e3903c9fd9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1311",
    "kind": "arxiv",
    "version": 1
  }
}