Pith Number

pith:4EGGD7UD

pith:2019:4EGGD7UDA3SLRDTKXKN7JWKXBB

not attested not anchored not stored refs pending

Ergodicity and partial hyperbolicity on Seifert manifolds

Andy Hammerlindl, Jana Rodriguez Hertz, Raul Ures

arxiv:1907.04755 v1 · 2019-07-10 · 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{4EGGD7UDA3SLRDTKXKN7JWKXBB}

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	2026-05-17T23:40:56.849285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e10c61fe8306e4b88e6aba9bf4d95708470378dde094368a2607f4d3edb0dd8c

Aliases

arxiv: 1907.04755 · arxiv_version: 1907.04755v1 · doi: 10.48550/arxiv.1907.04755 · pith_short_12: 4EGGD7UDA3SL · pith_short_16: 4EGGD7UDA3SLRDTK · pith_short_8: 4EGGD7UD

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/4EGGD7UDA3SLRDTKXKN7JWKXBB \
  | 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: e10c61fe8306e4b88e6aba9bf4d95708470378dde094368a2607f4d3edb0dd8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fa6f46c71ece6e811de72f1d1d5c3e19b398e87c54d20d97d7e64d78a8a6042",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-07-10T14:34:39Z",
    "title_canon_sha256": "70536a55b253e48cfb220d3b9915283a3ed47bb12eac2480dde7de93f33bc7b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04755",
    "kind": "arxiv",
    "version": 1
  }
}