Pith Number

pith:GTD4YKQI

pith:2019:GTD4YKQIAFYMPBCUFH72S22U4K

not attested not anchored not stored refs pending

On the liftability of expanding stationary measures

Carla L. Dias, Helder Vilarinho, Jose F. Alves

arxiv:1904.13343 v1 · 2019-04-30 · 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{GTD4YKQIAFYMPBCUFH72S22U4K}

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	2026-05-17T23:47:21.577792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34c7cc2a080170c7845429ffa96b54e28b2e574a38909e225a32daa2103f26b7

Aliases

arxiv: 1904.13343 · arxiv_version: 1904.13343v1 · doi: 10.48550/arxiv.1904.13343 · pith_short_12: GTD4YKQIAFYM · pith_short_16: GTD4YKQIAFYMPBCU · pith_short_8: GTD4YKQI

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/GTD4YKQIAFYMPBCUFH72S22U4K \
  | 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: 34c7cc2a080170c7845429ffa96b54e28b2e574a38909e225a32daa2103f26b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45dac380edeaeb0c947af9ecee0d81fd580f1370c99c0f18dafa0027c4365384",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-04-30T16:13:30Z",
    "title_canon_sha256": "1d31ba473d6bd03c163bd9e717d3d6db911eb42a3c1713b50df5c2884e650c13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.13343",
    "kind": "arxiv",
    "version": 1
  }
}