Pith Number

pith:4CRZHSQK

pith:2014:4CRZHSQKEE4Y64Z23SOZJLS233

not attested not anchored not stored refs pending

Affine Manifolds and Zero Lyapunov Exponents in Genus 3

David Aulicino

arxiv:1409.5180 v2 · 2014-09-18 · math.DS · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CRZHSQKEE4Y64Z23SOZJLS233}

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	2026-05-18T01:24:05.234765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0a393ca0a21398f733adc9d94ae5adec55b0d8661401db532bb2d761d3585dc

Aliases

arxiv: 1409.5180 · arxiv_version: 1409.5180v2 · doi: 10.48550/arxiv.1409.5180 · pith_short_12: 4CRZHSQKEE4Y · pith_short_16: 4CRZHSQKEE4Y64Z2 · pith_short_8: 4CRZHSQK

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/4CRZHSQKEE4Y64Z23SOZJLS233 \
  | 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: e0a393ca0a21398f733adc9d94ae5adec55b0d8661401db532bb2d761d3585dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4d06a9a8574d6a521f7de845992b6248f867fb7bab98f547ba5efdf05df27bc",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-09-18T03:06:53Z",
    "title_canon_sha256": "d529dd8fad115359b3064efc3cd09f7e93e6c49e54fef95e2817e2f4fc74ab91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5180",
    "kind": "arxiv",
    "version": 2
  }
}