Pith Number

pith:D3B7TUPL

pith:2010:D3B7TUPLGTSQVTG5ASCDKOQXY6

not attested not anchored not stored refs pending

The character of topological groups, via bounded systems, Pontryagin--van Kampen duality and pcf theory

Boaz Tsaban, Cristina Chis, M. Vincenta Ferrer, Salvador Hernandez

arxiv:1005.0577 v5 · 2010-05-04 · math.FA · math.CO · math.GN · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D3B7TUPLGTSQVTG5ASCDKOQXY6}

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	2026-05-18T02:43:24.741579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ec3f9d1eb34e50accdd0484353a17c7998d88447ca7e8a3a9973703eb17fec9

Aliases

arxiv: 1005.0577 · arxiv_version: 1005.0577v5 · doi: 10.48550/arxiv.1005.0577 · pith_short_12: D3B7TUPLGTSQ · pith_short_16: D3B7TUPLGTSQVTG5 · pith_short_8: D3B7TUPL

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/D3B7TUPLGTSQVTG5ASCDKOQXY6 \
  | 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: 1ec3f9d1eb34e50accdd0484353a17c7998d88447ca7e8a3a9973703eb17fec9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "032d6010a646b599a29e52055cfe3adc067a93d8554ba350816cb42faeda30d0",
    "cross_cats_sorted": [
      "math.CO",
      "math.GN",
      "math.GR",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-05-04T16:39:53Z",
    "title_canon_sha256": "c20beb81c64da89ab30e1ca6d2c70ca17e8fa4674fde433d97316e45983c046b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0577",
    "kind": "arxiv",
    "version": 5
  }
}