Pith Number

pith:4OC5JZRS

pith:2016:4OC5JZRSX5OWSJ6BBSTFSZG5WQ

not attested not anchored not stored refs pending

Teichmueller geodesics with d-dimensional limit sets

Anna Lenzhen, Babak Modami, Kasra Rafi

arxiv:1608.07945 v2 · 2016-08-29 · math.GT · 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{4OC5JZRSX5OWSJ6BBSTFSZG5WQ}

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	2026-05-18T00:22:06.643726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e385d4e632bf5d6927c10ca65964ddb41deae851318dad7f16db13242867a3b4

Aliases

arxiv: 1608.07945 · arxiv_version: 1608.07945v2 · doi: 10.48550/arxiv.1608.07945 · pith_short_12: 4OC5JZRSX5OW · pith_short_16: 4OC5JZRSX5OWSJ6B · pith_short_8: 4OC5JZRS

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/4OC5JZRSX5OWSJ6BBSTFSZG5WQ \
  | 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: e385d4e632bf5d6927c10ca65964ddb41deae851318dad7f16db13242867a3b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eeed18bacf089b1b6d3ffcd447ea492894323373b3db3ffa89508e2d2b97428",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-08-29T08:22:25Z",
    "title_canon_sha256": "fa2ec0848447f22509102c234a6d0f0e71854a25c4ab20ee17310e91ab82e7e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07945",
    "kind": "arxiv",
    "version": 2
  }
}