Pith Number

pith:RMVAHPBG

pith:2010:RMVAHPBGRQCGI3PJ3PKAIIWXBI

not attested not anchored not stored refs pending

Topological monoids of almost monotone injective co-finite partial selfmaps of positive integers

Ivan Chuchman, Oleg Gutik

arxiv:1006.4873 v2 · 2010-06-24 · 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{RMVAHPBGRQCGI3PJ3PKAIIWXBI}

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	2026-05-18T04:39:18.182519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b2a03bc268c04646de9dbd40422d70a1052d03d86089d2e6fcedf8180ad6ab2

Aliases

arxiv: 1006.4873 · arxiv_version: 1006.4873v2 · doi: 10.48550/arxiv.1006.4873 · pith_short_12: RMVAHPBGRQCG · pith_short_16: RMVAHPBGRQCGI3PJ · pith_short_8: RMVAHPBG

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/RMVAHPBGRQCGI3PJ3PKAIIWXBI \
  | 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: 8b2a03bc268c04646de9dbd40422d70a1052d03d86089d2e6fcedf8180ad6ab2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98b467ffecb8496d9a9f5d5c370a84f6dbc525ac5566e99c4d733decf97db8a9",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-06-24T20:25:12Z",
    "title_canon_sha256": "b71e48aeaed8669e4f1072bd3fe7434933228bfdf8d77f2877ef1b18ee6d7adb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4873",
    "kind": "arxiv",
    "version": 2
  }
}