Pith Number

pith:BZTNZ52L

pith:2011:BZTNZ52LMMZHVCBTWNJZRU6BNH

not attested not anchored not stored refs pending

Linear slices of the quasifuchsian space of punctured tori

Yasushi Yamashita, Yohei Komori

arxiv:1111.3407 v1 · 2011-11-15 · 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{BZTNZ52LMMZHVCBTWNJZRU6BNH}

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	2026-05-18T03:58:24.447074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e66dcf74b63327a8833b35398d3c169e0e035cc19dc73c91d9b0f361b2b667a

Aliases

arxiv: 1111.3407 · arxiv_version: 1111.3407v1 · doi: 10.48550/arxiv.1111.3407 · pith_short_12: BZTNZ52LMMZH · pith_short_16: BZTNZ52LMMZHVCBT · pith_short_8: BZTNZ52L

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/BZTNZ52LMMZHVCBTWNJZRU6BNH \
  | 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: 0e66dcf74b63327a8833b35398d3c169e0e035cc19dc73c91d9b0f361b2b667a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e70c56011422a6fd1a346bedb6e99ab16130dba742e7c163d2fb3ee81b215ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-11-15T02:13:08Z",
    "title_canon_sha256": "e1cce8842f8065130e84202407d593737dc04c347f8f894287bf9e122a005697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3407",
    "kind": "arxiv",
    "version": 1
  }
}