Pith Number

pith:CGY4EKQY

pith:2024:CGY4EKQYCPYJTSROF4TIBJPZFK

not attested not anchored not stored refs pending

A note on test elements for monomorphisms of free groups

Dongxiao Zhao, Qiang Zhang

arxiv:2408.13449 v2 · 2024-08-24 · 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{CGY4EKQYCPYJTSROF4TIBJPZFK}

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	2026-05-22T01:03:40.218192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b1c22a1813f099ca2e2f2680a5f92aaf6d197e65751d6fca8fe680b24c4328

Aliases

arxiv: 2408.13449 · arxiv_version: 2408.13449v2 · doi: 10.48550/arxiv.2408.13449 · pith_short_12: CGY4EKQYCPYJ · pith_short_16: CGY4EKQYCPYJTSRO · pith_short_8: CGY4EKQY

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/CGY4EKQYCPYJTSROF4TIBJPZFK \
  | 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: 11b1c22a1813f099ca2e2f2680a5f92aaf6d197e65751d6fca8fe680b24c4328

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64f910be22affb20a85ab6934b942bcc187af4df07d24f5f4523dfd0f83730e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-08-24T03:17:41Z",
    "title_canon_sha256": "8f0218b78c9227a481e5eedf42a850d099147931a22a2cbeb08a1b296cfab4fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.13449",
    "kind": "arxiv",
    "version": 2
  }
}