Pith Number

pith:Z4PKEDTJ

pith:2011:Z4PKEDTJCRXVFIRJVRNFVFZN2L

not attested not anchored not stored refs pending

Open uniform (G) at non-isolated points and maps

Fucai Lin, Shou Lin

arxiv:1106.4136 v1 · 2011-06-21 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4PKEDTJCRXVFIRJVRNFVFZN2L}

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	2026-05-18T04:19:34.024148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1ea20e69146f52a229ac5a5a972dd2f7eabde8226a3b2ba13414abdbcf994b

Aliases

arxiv: 1106.4136 · arxiv_version: 1106.4136v1 · doi: 10.48550/arxiv.1106.4136 · pith_short_12: Z4PKEDTJCRXV · pith_short_16: Z4PKEDTJCRXVFIRJ · pith_short_8: Z4PKEDTJ

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/Z4PKEDTJCRXVFIRJVRNFVFZN2L \
  | 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: cf1ea20e69146f52a229ac5a5a972dd2f7eabde8226a3b2ba13414abdbcf994b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d8d299c589e982b0bc2e436e5a7b98b5b2c2a4d98722b5017e1293cb4b88f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-06-21T08:48:42Z",
    "title_canon_sha256": "e5bf457480957c4640a9349c7b0cf0382dfc3b56db6e0916cbe4755ac8ace73e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4136",
    "kind": "arxiv",
    "version": 1
  }
}