Pith Number

pith:PJZWHW7O

pith:2012:PJZWHW7OOH47ZRQVUVFIAH42SV

not attested not anchored not stored refs pending

Zero Lyapunov exponents of the Hodge bundle

Anton Zorich, Carlos Matheus, Giovanni Forni

arxiv:1201.6075 v4 · 2012-01-29 · 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{PJZWHW7OOH47ZRQVUVFIAH42SV}

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	2026-05-18T02:48:18.027364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a7363dbee71f9fcc615a54a801f9a9567b1e20373c19229d11d5825429521fd

Aliases

arxiv: 1201.6075 · arxiv_version: 1201.6075v4 · doi: 10.48550/arxiv.1201.6075 · pith_short_12: PJZWHW7OOH47 · pith_short_16: PJZWHW7OOH47ZRQV · pith_short_8: PJZWHW7O

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/PJZWHW7OOH47ZRQVUVFIAH42SV \
  | 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: 7a7363dbee71f9fcc615a54a801f9a9567b1e20373c19229d11d5825429521fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9193a0088bc005c0ae812e28da61acc73abc8ff5779c1999a4fd68f1e7e8a9e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-01-29T20:12:11Z",
    "title_canon_sha256": "199d3c6212a89c0a105da134a524de2e7d0969d7c9e848da2b26b9449c7c6a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6075",
    "kind": "arxiv",
    "version": 4
  }
}