Pith Number

pith:VT644BGK

pith:2017:VT644BGKR3GTP7VHK5HXQ7NWOD

not attested not anchored not stored refs pending

Periodic points of algebraic actions of discrete groups

Siddhartha Bhattacharya

arxiv:1703.00668 v1 · 2017-03-02 · 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{VT644BGKR3GTP7VHK5HXQ7NWOD}

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	2026-05-18T00:49:41.099608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acfdce04ca8ecd37fea7574f787db670cbf7c72d4900d328aed62aecf0683704

Aliases

arxiv: 1703.00668 · arxiv_version: 1703.00668v1 · doi: 10.48550/arxiv.1703.00668 · pith_short_12: VT644BGKR3GT · pith_short_16: VT644BGKR3GTP7VH · pith_short_8: VT644BGK

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/VT644BGKR3GTP7VHK5HXQ7NWOD \
  | 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: acfdce04ca8ecd37fea7574f787db670cbf7c72d4900d328aed62aecf0683704

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c85f43aa9bb162173e1ad6d8bd7621c00d0fa30e8391afc79086b336e125f2a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-03-02T08:45:59Z",
    "title_canon_sha256": "adbc2e012b40a4706e8abbabede9a16dc784c5faffe7654d8033a9fc8b480aff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00668",
    "kind": "arxiv",
    "version": 1
  }
}