Pith Number

pith:TPTQLHQ2

pith:2014:TPTQLHQ24AIJUBH75MGIBKQPBE

not attested not anchored not stored refs pending

The strong profinite genus of a finitely presented group can be infinite

Martin R. Bridson

arxiv:1401.4084 v2 · 2014-01-16 · 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{TPTQLHQ24AIJUBH75MGIBKQPBE}

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	2026-05-18T02:29:53.676463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9be7059e1ae0109a04ffeb0c80aa0f091aecba12959892dcb009b7b2951c6294

Aliases

arxiv: 1401.4084 · arxiv_version: 1401.4084v2 · doi: 10.48550/arxiv.1401.4084 · pith_short_12: TPTQLHQ24AIJ · pith_short_16: TPTQLHQ24AIJUBH7 · pith_short_8: TPTQLHQ2

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/TPTQLHQ24AIJUBH75MGIBKQPBE \
  | 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: 9be7059e1ae0109a04ffeb0c80aa0f091aecba12959892dcb009b7b2951c6294

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a44f5f23a95856bf923aba2d670232188eceebea5b7aceb9f1555e3c2def9176",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-01-16T16:42:10Z",
    "title_canon_sha256": "924e27cb2a03732c87dfd872cd1add1a0b5b01a2e8751ccdafc5a82c89ba360e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4084",
    "kind": "arxiv",
    "version": 2
  }
}