Pith Number

pith:BPWXA776

pith:2011:BPWXA776677H6KGQ25KQULO3IP

not attested not anchored not stored refs pending

On rectifiable spaces and paratopological groups

Fucai Lin, Rongxin Shen

arxiv:1110.0082 v2 · 2011-10-01 · math.GN · 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{BPWXA776677H6KGQ25KQULO3IP}

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	2026-05-18T04:00:51.964071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bed707ffef7fe7f28d0d7550a2ddb43d93ab00727a30d665b3cf00f24728097

Aliases

arxiv: 1110.0082 · arxiv_version: 1110.0082v2 · doi: 10.48550/arxiv.1110.0082 · pith_short_12: BPWXA776677H · pith_short_16: BPWXA776677H6KGQ · pith_short_8: BPWXA776

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/BPWXA776677H6KGQ25KQULO3IP \
  | 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: 0bed707ffef7fe7f28d0d7550a2ddb43d93ab00727a30d665b3cf00f24728097

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4cbc2c06643f98494b1d57aef6786d02182069732292d7ebed89ac9df74df7c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-10-01T07:25:19Z",
    "title_canon_sha256": "419b1483f7aa5f1c516608bedae37cb9edd94e9766d0221331dd4a48c0ab2cd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0082",
    "kind": "arxiv",
    "version": 2
  }
}