Pith Number

pith:IO3V34F7

pith:2012:IO3V34F75Q6NZM75TA5NKUHPJX

not attested not anchored not stored refs pending

Teichm\"uller Discs with Completely Degenerate Kontsevich-Zorich Spectrum

David Aulicino

arxiv:1205.2359 v2 · 2012-05-10 · 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{IO3V34F75Q6NZM75TA5NKUHPJX}

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	2026-05-18T01:36:31.858834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43b75df0bfec3cdcb3fd983ad550ef4df8bf2b980a686cb2c9ae75640f53695a

Aliases

arxiv: 1205.2359 · arxiv_version: 1205.2359v2 · doi: 10.48550/arxiv.1205.2359 · pith_short_12: IO3V34F75Q6N · pith_short_16: IO3V34F75Q6NZM75 · pith_short_8: IO3V34F7

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/IO3V34F75Q6NZM75TA5NKUHPJX \
  | 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: 43b75df0bfec3cdcb3fd983ad550ef4df8bf2b980a686cb2c9ae75640f53695a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05b8cd2f86d1593a0c8395f91fdb8424ba6ba2b20b3e004e4309aa5563f63d28",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-10T19:31:40Z",
    "title_canon_sha256": "1b6914713718e9d01686e3cf7353d51861a940eef171e101697bb077d4b85c41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2359",
    "kind": "arxiv",
    "version": 2
  }
}