Pith Number

pith:Z3QXKD6L

pith:2015:Z3QXKD6L7CSD25CEHPH4NQOXGP

not attested not anchored not stored refs pending

The topological properties of $q$-spaces in free topological groups

Chuan Liu, Fucai Lin, Shou Lin

arxiv:1507.04912 v2 · 2015-07-17 · math.GR · 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{Z3QXKD6L7CSD25CEHPH4NQOXGP}

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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	2026-05-18T01:32:36.872089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cee1750fcbf8a43d74443bcfc6c1d733ccc7f1c2838db55989ab4e9ba6b8f7d0

Aliases

arxiv: 1507.04912 · arxiv_version: 1507.04912v2 · doi: 10.48550/arxiv.1507.04912 · pith_short_12: Z3QXKD6L7CSD · pith_short_16: Z3QXKD6L7CSD25CE · pith_short_8: Z3QXKD6L

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/Z3QXKD6L7CSD25CEHPH4NQOXGP \
  | 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: cee1750fcbf8a43d74443bcfc6c1d733ccc7f1c2838db55989ab4e9ba6b8f7d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86fe139bc4cc2617c8a8b30490d467b3ea805a3d0068fb06dac7c38e7be9a160",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-07-17T10:44:20Z",
    "title_canon_sha256": "4c18651839bb66299bfbe9152c7f4895575fb6c5c590433093e12e487f1ef781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04912",
    "kind": "arxiv",
    "version": 2
  }
}