Pith Number

pith:LC7EWHF2

pith:2003:LC7EWHF2BDIFGQQC6Q6PCIRQRA

not attested not anchored not stored refs pending

Limit points of lines of minima in Thurston's boundary of Teichmueller space

Caroline Series, Raquel Diaz

arxiv:math/0303108 v1 · 2003-03-09 · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LC7EWHF2BDIFGQQC6Q6PCIRQRA}

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	2026-05-18T02:41:32.714855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58be4b1cba08d0534202f43cf1223088106145963dd811a0797d889853ccf730

Aliases

arxiv: math/0303108 · arxiv_version: math/0303108v1 · doi: 10.48550/arxiv.math/0303108 · pith_short_12: LC7EWHF2BDIF · pith_short_16: LC7EWHF2BDIFGQQC · pith_short_8: LC7EWHF2

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/LC7EWHF2BDIFGQQC6Q6PCIRQRA \
  | 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: 58be4b1cba08d0534202f43cf1223088106145963dd811a0797d889853ccf730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "950c7edb91f408b8a516f3bc66478f60ea9d790e7f96fcd8ce3a2769c4572950",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-03-09T18:58:18Z",
    "title_canon_sha256": "f7cde42416717eff0bd42b6f92643bf5a45545786b00d99dac77587ded5aa8ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0303108",
    "kind": "arxiv",
    "version": 1
  }
}