Pith Number

pith:3GDCCVLF

pith:2013:3GDCCVLFHCI5W67CIMRIE3QXMP

not attested not anchored not stored refs pending

Ergodicity of principal algebraic group actions

Hanfeng Li, Jesse Peterson, Klaus Schmidt

arxiv:1312.3098 v1 · 2013-12-11 · 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{3GDCCVLFHCI5W67CIMRIE3QXMP}

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	2026-05-18T03:05:00.475015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9862155653891db7be24322826e1763db9daf908e75347c3327b8844228d58d

Aliases

arxiv: 1312.3098 · arxiv_version: 1312.3098v1 · doi: 10.48550/arxiv.1312.3098 · pith_short_12: 3GDCCVLFHCI5 · pith_short_16: 3GDCCVLFHCI5W67C · pith_short_8: 3GDCCVLF

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/3GDCCVLFHCI5W67CIMRIE3QXMP \
  | 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: d9862155653891db7be24322826e1763db9daf908e75347c3327b8844228d58d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "856f3af386cc5da20e318bd69925776c2de09e7ccd2bc12127ba6cebddf41065",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-11T09:51:42Z",
    "title_canon_sha256": "700d0cd599093f4414887f4a1f6b1b272075ebfc6a7ca5ddd12e4020e6136d78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3098",
    "kind": "arxiv",
    "version": 1
  }
}