Pith Number

pith:VAPA6AQJ

pith:2014:VAPA6AQJM5QYTRGHKDV3TF3DQ3

not attested not anchored not stored refs pending

Teichmuller spaces, ergodic theory and global Torelli theorem

Misha Verbitsky

arxiv:1404.3847 v1 · 2014-04-15 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VAPA6AQJM5QYTRGHKDV3TF3DQ3}

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	2026-05-18T01:19:44.868164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a81e0f0209676189c4c750ebb9976386fbe33ed363d63f199e4733c0cee965ce

Aliases

arxiv: 1404.3847 · arxiv_version: 1404.3847v1 · doi: 10.48550/arxiv.1404.3847 · pith_short_12: VAPA6AQJM5QY · pith_short_16: VAPA6AQJM5QYTRGH · pith_short_8: VAPA6AQJ

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/VAPA6AQJM5QYTRGHKDV3TF3DQ3 \
  | 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: a81e0f0209676189c4c750ebb9976386fbe33ed363d63f199e4733c0cee965ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0f67f74b5f8d60725287ecb13873fe046926f5df0133a3db1ebb1a1c80a72a1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-15T08:47:16Z",
    "title_canon_sha256": "e6c136ccec6a1f9d249e5e211dc013d610d13ce2907ecc32ebec812d005abba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3847",
    "kind": "arxiv",
    "version": 1
  }
}