Pith Number

pith:APJ6E6XV

pith:2019:APJ6E6XVJTL76EPV3NFXQC6APF

not attested not anchored not stored refs pending

Graph Immersions, Inverse Monoids, and Deck Transformations

Corbin Groothuis, John Meakin

arxiv:1903.07203 v2 · 2019-03-17 · 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{APJ6E6XVJTL76EPV3NFXQC6APF}

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	2026-05-17T23:48:50.014571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d3e27af54cd7ff11f5db4b780bc079637fa7b8bee69952f084840f1f4c0d4b

Aliases

arxiv: 1903.07203 · arxiv_version: 1903.07203v2 · doi: 10.48550/arxiv.1903.07203 · pith_short_12: APJ6E6XVJTL7 · pith_short_16: APJ6E6XVJTL76EPV · pith_short_8: APJ6E6XV

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/APJ6E6XVJTL76EPV3NFXQC6APF \
  | 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: 03d3e27af54cd7ff11f5db4b780bc079637fa7b8bee69952f084840f1f4c0d4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce7c7b12272be3baf71d96b1ef9cb0f80133b680fa20163fc693e02586ef970e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-03-17T23:54:15Z",
    "title_canon_sha256": "4fa9364095745093a18568fc04f3f51b806331cf6ddecc4fb17b3fa942c63e14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07203",
    "kind": "arxiv",
    "version": 2
  }
}