Pith Number

pith:4M73LFYZ

pith:2004:4M73LFYZLRVFUYATBQH3I5SWU2

not attested not anchored not stored refs pending

Algebraic Geometry over Free Groups: Lifting Solutions into Generic Points

Alexei Myasnikov, Olga Kharlampovich

arxiv:math/0407110 v4 · 2004-07-07 · 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{4M73LFYZLRVFUYATBQH3I5SWU2}

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	2026-05-18T01:05:26.230563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e33fb597195c6a5a60130c0fb47656a692ee858e03baa306b56189532a1b5d40

Aliases

arxiv: math/0407110 · arxiv_version: math/0407110v4 · doi: 10.48550/arxiv.math/0407110 · pith_short_12: 4M73LFYZLRVF · pith_short_16: 4M73LFYZLRVFUYAT · pith_short_8: 4M73LFYZ

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/4M73LFYZLRVFUYATBQH3I5SWU2 \
  | 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: e33fb597195c6a5a60130c0fb47656a692ee858e03baa306b56189532a1b5d40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7382d8f87882f4bfc4b21d85929486329c5afcc6fcd7c4c954dc334b76a29f5e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2004-07-07T16:47:56Z",
    "title_canon_sha256": "6293b79f1e8824e4f9c5a05fd26cc65808b6314c1aa5c3c65b4b4a90b000f13e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407110",
    "kind": "arxiv",
    "version": 4
  }
}