Pith Number

pith:7SFJRW6R

pith:2005:7SFJRW6RPWJRORZATCEWHLV4OW

not attested not anchored not stored refs pending

On the isolated points in the space of groups

Luc Guyot, Wolfgang Pitsch, Yves de Cornulier

arxiv:math/0511714 v2 · 2005-11-29 · 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{7SFJRW6RPWJRORZATCEWHLV4OW}

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	2026-05-18T04:42:36.314173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc8a98dbd17d93174720988963aebc75b61ab7420e7cdedc97e9faa854b949f5

Aliases

arxiv: math/0511714 · arxiv_version: math/0511714v2 · doi: 10.48550/arxiv.math/0511714 · pith_short_12: 7SFJRW6RPWJR · pith_short_16: 7SFJRW6RPWJRORZA · pith_short_8: 7SFJRW6R

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/7SFJRW6RPWJRORZATCEWHLV4OW \
  | 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: fc8a98dbd17d93174720988963aebc75b61ab7420e7cdedc97e9faa854b949f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "827e101b3bec98c41e6e9312a9fe2662258d396ccd3c91f7aa516543f510cc9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2005-11-29T18:22:46Z",
    "title_canon_sha256": "60e0921ae1151efb5584e3b219d6544079d759511b4217acecb468c4fe24576f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511714",
    "kind": "arxiv",
    "version": 2
  }
}