Pith Number

pith:NCTFCSJI

pith:2016:NCTFCSJIZHJOY2WN4SC2YVBMUB

not attested not anchored not stored refs pending

On the monoid of monotone injective partial selfmaps of $\mathbb{N}^{2}_{\leqslant}$ with cofinite domains and images

Inna Pozdniakova, Oleg Gutik

arxiv:1602.06593 v3 · 2016-02-21 · 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{NCTFCSJIZHJOY2WN4SC2YVBMUB}

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	2026-05-18T00:45:01.749187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68a6514928c9d2ec6acde485ac542ca07fb9a57dbdce7b071ee1dfb4ff6edd7c

Aliases

arxiv: 1602.06593 · arxiv_version: 1602.06593v3 · doi: 10.48550/arxiv.1602.06593 · pith_short_12: NCTFCSJIZHJO · pith_short_16: NCTFCSJIZHJOY2WN · pith_short_8: NCTFCSJI

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/NCTFCSJIZHJOY2WN4SC2YVBMUB \
  | 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: 68a6514928c9d2ec6acde485ac542ca07fb9a57dbdce7b071ee1dfb4ff6edd7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "496de37a96a7c5552f023882f7678331dde046a43c190cb39476ba8c6253b56b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-02-21T22:40:59Z",
    "title_canon_sha256": "455740acae21772aa7b92d002cb5906310576e4af396a03ec2502105f863c3fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06593",
    "kind": "arxiv",
    "version": 3
  }
}