Pith Number

pith:6PLXV7CA

pith:2012:6PLXV7CAQ4D47HXC3UIW4NHI43

not attested not anchored not stored refs pending

Taut foliations and the actions of fundamental groups on leaf spaces and universal circles

Yosuke Kano

arxiv:1203.2413 v1 · 2012-03-12 · 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{6PLXV7CAQ4D47HXC3UIW4NHI43}

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	2026-05-18T01:22:26.800437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3d77afc408707cf9ee2dd116e34e8e6ef41dacc3feb949ad77ae8e705a9b758

Aliases

arxiv: 1203.2413 · arxiv_version: 1203.2413v1 · doi: 10.48550/arxiv.1203.2413 · pith_short_12: 6PLXV7CAQ4D4 · pith_short_16: 6PLXV7CAQ4D47HXC · pith_short_8: 6PLXV7CA

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/6PLXV7CAQ4D47HXC3UIW4NHI43 \
  | 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: f3d77afc408707cf9ee2dd116e34e8e6ef41dacc3feb949ad77ae8e705a9b758

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d065d3f68c848105dabbef8a4c48dcb133f247e0a76bb099aaf6f2965463438",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-03-12T07:06:40Z",
    "title_canon_sha256": "31a3c6abe79cfa1a4c09f7d905476467d12e2ce108c4b15c433a64406d4bb38f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2413",
    "kind": "arxiv",
    "version": 1
  }
}