Pith Number

pith:PL5EGLHE

pith:2010:PL5EGLHES4YWE7CBFRSGUUE7EL

not attested not anchored not stored refs pending

Length Functions for Semigroup Embeddings

Tara Davis

arxiv:1009.2734 v1 · 2010-09-14 · 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{PL5EGLHES4YWE7CBFRSGUUE7EL}

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	2026-05-18T04:40:56.448741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7afa432ce49731627c412c646a509f22c6515120d3426e97d673b437b1b01dd7

Aliases

arxiv: 1009.2734 · arxiv_version: 1009.2734v1 · doi: 10.48550/arxiv.1009.2734 · pith_short_12: PL5EGLHES4YW · pith_short_16: PL5EGLHES4YWE7CB · pith_short_8: PL5EGLHE

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/PL5EGLHES4YWE7CBFRSGUUE7EL \
  | 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: 7afa432ce49731627c412c646a509f22c6515120d3426e97d673b437b1b01dd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea3cca52e2b86003f1e22e7e951aa7bfe41625dfef00aad8e15b33a7b59c691",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-14T19:08:51Z",
    "title_canon_sha256": "973dc5b4f9e939e5fe76c18af879b92a28366dcc5e33c20cea33183d45f319d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2734",
    "kind": "arxiv",
    "version": 1
  }
}