Pith Number

pith:4K5KBWI6

pith:2017:4K5KBWI6LECVL5PWLP56UVNMA6

not attested not anchored not stored refs pending

Projective cocycles over SL(2,R) actions: measures invariant under the upper triangular group

Alex Eskin, Amie Wilkinson, Christian Bonatti

arxiv:1709.02521 v3 · 2017-09-08 · 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{4K5KBWI6LECVL5PWLP56UVNMA6}

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	2026-05-18T00:12:35.030014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2baa0d91e590555f5f65bfbea55ac07b9588d44a8de9a061d5059687432d5d9

Aliases

arxiv: 1709.02521 · arxiv_version: 1709.02521v3 · doi: 10.48550/arxiv.1709.02521 · pith_short_12: 4K5KBWI6LECV · pith_short_16: 4K5KBWI6LECVL5PW · pith_short_8: 4K5KBWI6

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/4K5KBWI6LECVL5PWLP56UVNMA6 \
  | 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: e2baa0d91e590555f5f65bfbea55ac07b9588d44a8de9a061d5059687432d5d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb0e0afc2559ab547d9de090546e0673ccfd5fbc5745b09b40f69e1816b6e214",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-09-08T03:33:37Z",
    "title_canon_sha256": "3f68c2b3da152b3d8a0a2a958fc8e789aa41bf0a4a2be345dccd6b90acf2cfd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02521",
    "kind": "arxiv",
    "version": 3
  }
}