Pith Number

pith:KN3CQ4WF

pith:2011:KN3CQ4WF2F7SM6WYMWOXGWTYBY

not attested not anchored not stored refs pending

Escape of mass and entropy for diagonal flows in real rank one situations

Anke Pohl, Manfred Einsiedler, Shirali Kadyrov

arxiv:1110.0910 v3 · 2011-10-05 · 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{KN3CQ4WF2F7SM6WYMWOXGWTYBY}

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	2026-05-18T02:43:16.769719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53762872c5d17f267ad8659d735a780e05abd03971aeb42036f93926b1701c5b

Aliases

arxiv: 1110.0910 · arxiv_version: 1110.0910v3 · doi: 10.48550/arxiv.1110.0910 · pith_short_12: KN3CQ4WF2F7S · pith_short_16: KN3CQ4WF2F7SM6WY · pith_short_8: KN3CQ4WF

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/KN3CQ4WF2F7SM6WYMWOXGWTYBY \
  | 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: 53762872c5d17f267ad8659d735a780e05abd03971aeb42036f93926b1701c5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f45d788bd61123fd0dc8c981cf47f06ac21c98862c68cbb93f4a4ecd41e88ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-10-05T07:11:58Z",
    "title_canon_sha256": "0fbf29671e9cf40c1e64d6187b6ea36919d61baff7cba89ebf6ff22fc817a9d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0910",
    "kind": "arxiv",
    "version": 3
  }
}