Pith Number

pith:5ESTTW2P

pith:2010:5ESTTW2PL22CC4AMFYTOV4KZC7

not attested not anchored not stored refs pending

Strings of group endomorphisms

Anna Giordano Bruno, Dikran Dikranjan, Simone Virili

arxiv:1006.5205 v3 · 2010-06-27 · 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{5ESTTW2PL22CC4AMFYTOV4KZC7}

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	2026-05-18T04:32:46.261927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e92539db4f5eb421700c2e26eaf15917e340bbcbcd5ce82ee4897324c5e781cc

Aliases

arxiv: 1006.5205 · arxiv_version: 1006.5205v3 · doi: 10.48550/arxiv.1006.5205 · pith_short_12: 5ESTTW2PL22C · pith_short_16: 5ESTTW2PL22CC4AM · pith_short_8: 5ESTTW2P

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/5ESTTW2PL22CC4AMFYTOV4KZC7 \
  | 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: e92539db4f5eb421700c2e26eaf15917e340bbcbcd5ce82ee4897324c5e781cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4696dd0457178582a9f7dddb8ab33b274c0bd5557843b6a53154b0af012ec375",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-06-27T12:48:29Z",
    "title_canon_sha256": "5d5f4a7df93c610bef851d08a5c643108cb074f671082e8f34861898e761947f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5205",
    "kind": "arxiv",
    "version": 3
  }
}