Pith Number

pith:GH2O3MDA

pith:2016:GH2O3MDAUICOXCA4RT6ZM5JHFE

not attested not anchored not stored refs pending

Rank-one actions, their $(C,F)$-models and constructions with bounded parameters

Alexandre I. Danilenko

arxiv:1610.09851 v3 · 2016-10-31 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GH2O3MDAUICOXCA4RT6ZM5JHFE}

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	2026-05-18T00:27:22.082629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31f4edb060a204eb881c8cfd967527293de99349393e725eceedbffd0c515fc3

Aliases

arxiv: 1610.09851 · arxiv_version: 1610.09851v3 · doi: 10.48550/arxiv.1610.09851 · pith_short_12: GH2O3MDAUICO · pith_short_16: GH2O3MDAUICOXCA4 · pith_short_8: GH2O3MDA

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/GH2O3MDAUICOXCA4RT6ZM5JHFE \
  | 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: 31f4edb060a204eb881c8cfd967527293de99349393e725eceedbffd0c515fc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c8a69e29a46a2b015b8731dd88bfa6930c9d2b9fbf8d1cac3c90ce02b57a4e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-31T10:26:09Z",
    "title_canon_sha256": "95d66cbc5162402fd0720ee68ba4f75aa05839fb4575a4bf64c4f6835bd8f6c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09851",
    "kind": "arxiv",
    "version": 3
  }
}