Pith Number

pith:W5LVXX5X

pith:2013:W5LVXX5XAUW66WMN2JBRMJVPRS

not attested not anchored not stored refs pending

On monoids of monotone injective partial selfmaps of $L_n\times_{\operatorname{lex}}\mathbb{Z}$ with co-finite domains and images

Inna Pozdnyakova, Oleg Gutik

arxiv:1311.6175 v2 · 2013-11-24 · math.GR · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5LVXX5XAUW66WMN2JBRMJVPRS}

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	2026-05-18T02:48:46.618164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7575bdfb7052def598dd2431626af8ca5344eb9aa8ef86ebd0353e5f4d8672b

Aliases

arxiv: 1311.6175 · arxiv_version: 1311.6175v2 · doi: 10.48550/arxiv.1311.6175 · pith_short_12: W5LVXX5XAUW6 · pith_short_16: W5LVXX5XAUW66WMN · pith_short_8: W5LVXX5X

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/W5LVXX5XAUW66WMN2JBRMJVPRS \
  | 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: b7575bdfb7052def598dd2431626af8ca5344eb9aa8ef86ebd0353e5f4d8672b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebf19c7e915930c9390182ee63e69b5b6c3efbc7e81adc63d58bb16718741d37",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-11-24T21:49:07Z",
    "title_canon_sha256": "00652e743233fa2dc302a9262e9b58264ff3367cc16bff2cf7c131e258ecf5df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6175",
    "kind": "arxiv",
    "version": 2
  }
}