Pith Number

pith:NASFY5XD

pith:2005:NASFY5XDV32TXXMU2ABLBVGIXR

not attested not anchored not stored refs pending

Subgroups of direct products of two limit groups

James Howie, Martin R. Bridson

arxiv:math/0510353 v1 · 2005-10-17 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NASFY5XDV32TXXMU2ABLBVGIXR}

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	2026-05-18T04:33:27.519362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68245c76e3aef53bdd94d002b0d4c8bc6d0af9931429287e56c395803ff44372

Aliases

arxiv: math/0510353 · arxiv_version: math/0510353v1 · doi: 10.48550/arxiv.math/0510353 · pith_short_12: NASFY5XDV32T · pith_short_16: NASFY5XDV32TXXMU · pith_short_8: NASFY5XD

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/NASFY5XDV32TXXMU2ABLBVGIXR \
  | 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: 68245c76e3aef53bdd94d002b0d4c8bc6d0af9931429287e56c395803ff44372

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "016ec056f94d1c2a39382d4a5a6b442c5ce7cb46fbba51b6aa54f6c832e09a99",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-10-17T15:10:27Z",
    "title_canon_sha256": "d52e73b81a640695588054dcd89ddac3603ebb237e34654d0d45c19d50a8cc7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510353",
    "kind": "arxiv",
    "version": 1
  }
}