Pith Number

pith:DXEYNRP6

pith:2016:DXEYNRP67WEZFL6VZTWLTIBXAW

not attested not anchored not stored refs pending

Quantitative recurrence for free semigroup actions

Fagner B. Rodrigues, Maria Carvalho, Paulo Varandas

arxiv:1612.07082 v1 · 2016-12-21 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXEYNRP67WEZFL6VZTWLTIBXAW}

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	2026-05-18T00:54:14.721742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dc986c5fefd8992afd5ccecb9a03705ba83cc7a305bb6bb14dd75c625529dbf

Aliases

arxiv: 1612.07082 · arxiv_version: 1612.07082v1 · doi: 10.48550/arxiv.1612.07082 · pith_short_12: DXEYNRP67WEZ · pith_short_16: DXEYNRP67WEZFL6V · pith_short_8: DXEYNRP6

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/DXEYNRP67WEZFL6VZTWLTIBXAW \
  | 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: 1dc986c5fefd8992afd5ccecb9a03705ba83cc7a305bb6bb14dd75c625529dbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a2c41d229b698ea5a0e2fa481591c541063341c6fc4848ad458194284c802f3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-21T12:56:06Z",
    "title_canon_sha256": "03f44c1262c18ffb3237f3bf2f9d2d9ed246b89f0a845ffd07cc39a2143fc64f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07082",
    "kind": "arxiv",
    "version": 1
  }
}