Pith Number

pith:LK7XYQ3S

pith:2016:LK7XYQ3SQ3LEIM3XNERF3VVE5Z

not attested not anchored not stored refs pending

Free topological vector spaces

Saak S. Gabriyelyan, Sidney A. Morris

arxiv:1604.04005 v1 · 2016-04-14 · 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{LK7XYQ3SQ3LEIM3XNERF3VVE5Z}

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	2026-05-18T01:17:06.974209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5abf7c437286d644337769225dd6a4ee65b523b4491a6055ab3a762ee8df6c5e

Aliases

arxiv: 1604.04005 · arxiv_version: 1604.04005v1 · doi: 10.48550/arxiv.1604.04005 · pith_short_12: LK7XYQ3SQ3LE · pith_short_16: LK7XYQ3SQ3LEIM3X · pith_short_8: LK7XYQ3S

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/LK7XYQ3SQ3LEIM3XNERF3VVE5Z \
  | 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: 5abf7c437286d644337769225dd6a4ee65b523b4491a6055ab3a762ee8df6c5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63b4bd136a896e2fdfe7a10d9cf0df28bf142e319620a6529d4929f13395caba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-04-14T00:48:03Z",
    "title_canon_sha256": "7a792929aed8fd6664b74c735c5aa4c8e44f463bb795baa063efe2bbc7fa6e43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04005",
    "kind": "arxiv",
    "version": 1
  }
}