Pith Number

pith:YMAYP5MW

pith:2010:YMAYP5MWJEZLWF4LBTXKTONVIX

not attested not anchored not stored refs pending

The Thurston metric on hyperbolic domains and boundaries of convex hulls

Martin Bridgeman, Richard Canary

arxiv:1002.1929 v2 · 2010-02-09 · math.GT · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMAYP5MWJEZLWF4LBTXKTONVIX}

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	2026-05-18T04:39:59.357261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c30187f5964932bb178b0ceea9b9b545faa737076dc7475abc9089943d7ecee8

Aliases

arxiv: 1002.1929 · arxiv_version: 1002.1929v2 · doi: 10.48550/arxiv.1002.1929 · pith_short_12: YMAYP5MWJEZL · pith_short_16: YMAYP5MWJEZLWF4L · pith_short_8: YMAYP5MW

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/YMAYP5MWJEZLWF4LBTXKTONVIX \
  | 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: c30187f5964932bb178b0ceea9b9b545faa737076dc7475abc9089943d7ecee8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abb5e420416f7dd209884149776fd320f449b6ed4b1acee9064c0ed8c7359224",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-02-09T18:01:55Z",
    "title_canon_sha256": "76a7c8b0db640b4fb00c6309d589e5d3aef0fc4551ed3e86f8f8319cb76895df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1929",
    "kind": "arxiv",
    "version": 2
  }
}