Pith Number

pith:ROGSYKS7

pith:2013:ROGSYKS7ZQTH7JUC4BNCEL5B3Y

not attested not anchored not stored refs pending

Complex projective structures: Lyapunov exponent, degree and harmonic measure

Bertrand Deroin, Romain Dujardin

arxiv:1308.0541 v1 · 2013-08-02 · math.GT · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ROGSYKS7ZQTH7JUC4BNCEL5B3Y}

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	2026-05-18T00:32:45.447606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b8d2c2a5fcc267fa682e05a222fa1de2273eb5ab6533e0ed38b4db34eff1b51

Aliases

arxiv: 1308.0541 · arxiv_version: 1308.0541v1 · doi: 10.48550/arxiv.1308.0541 · pith_short_12: ROGSYKS7ZQTH · pith_short_16: ROGSYKS7ZQTH7JUC · pith_short_8: ROGSYKS7

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/ROGSYKS7ZQTH7JUC4BNCEL5B3Y \
  | 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: 8b8d2c2a5fcc267fa682e05a222fa1de2273eb5ab6533e0ed38b4db34eff1b51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a605798d568bcc5e7fd1a77d122abc9c4710bca38c247c93cfcb40faf8bb5c6b",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-08-02T15:40:19Z",
    "title_canon_sha256": "7c5d3c19fbf14ca43de08c03d816027d162afbdf3e9d2d302d85d3b3f948a63c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0541",
    "kind": "arxiv",
    "version": 1
  }
}