Pith Number

pith:4V4LZNJP

pith:2010:4V4LZNJPQQTIQK4OJ7625JTXI6

not attested not anchored not stored refs pending

A class of metrizable locally quasi-convex groups which are not Mackey

Dikran Dikranjan, Elena Mart\'in Peinador, Vaja Tarieladze

arxiv:1012.5713 v1 · 2010-12-28 · 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{4V4LZNJPQQTIQK4OJ7625JTXI6}

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	2026-05-18T04:32:22.435650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e578bcb52f8426882b8e4ffdaea67747a58b5bcc2da212f97fa26ac6c979ed9d

Aliases

arxiv: 1012.5713 · arxiv_version: 1012.5713v1 · doi: 10.48550/arxiv.1012.5713 · pith_short_12: 4V4LZNJPQQTI · pith_short_16: 4V4LZNJPQQTIQK4O · pith_short_8: 4V4LZNJP

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/4V4LZNJPQQTIQK4OJ7625JTXI6 \
  | 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: e578bcb52f8426882b8e4ffdaea67747a58b5bcc2da212f97fa26ac6c979ed9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c324bc2904cab43bb116af4d7faf11112e2de95a3d2987c66f6080831e85d999",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2010-12-28T08:02:00Z",
    "title_canon_sha256": "9459a3bf9ac34cbc1fdd166d64280649d7898fa910bde5ae7fb9a3ce6b50bd5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5713",
    "kind": "arxiv",
    "version": 1
  }
}