Pith Number

pith:DGV2TA5N

pith:2016:DGV2TA5N3RFUMPM2XLSEPEZFU6

not attested not anchored not stored refs pending

Topological transivity and mixing of the composition operators

Benito Pires, Udayan B. Darji

arxiv:1610.00863 v2 · 2016-10-04 · 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{DGV2TA5N3RFUMPM2XLSEPEZFU6}

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	2026-05-18T00:42:20.075519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19aba983addc4b463d9abae4479325a7955fdf44e88d591bfd809552ebeb17f0

Aliases

arxiv: 1610.00863 · arxiv_version: 1610.00863v2 · doi: 10.48550/arxiv.1610.00863 · pith_short_12: DGV2TA5N3RFU · pith_short_16: DGV2TA5N3RFUMPM2 · pith_short_8: DGV2TA5N

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/DGV2TA5N3RFUMPM2XLSEPEZFU6 \
  | 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: 19aba983addc4b463d9abae4479325a7955fdf44e88d591bfd809552ebeb17f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59f04769f42ea078c6dde3c2ea6bf85125304e4664f490bb193ce370e7088c08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-04T06:46:04Z",
    "title_canon_sha256": "f99eb4f74cc40203f0a1945f8de0cddda1ef456ff58d5fce2f69f765cd64d58b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00863",
    "kind": "arxiv",
    "version": 2
  }
}