Pith Number

pith:Q5KZTGZO

pith:2010:Q5KZTGZOPUGA3BI3K4DTC356X3

not attested not anchored not stored refs pending

Expanding Thurston Maps

Daniel Meyer, Mario Bonk

arxiv:1009.3647 v3 · 2010-09-19 · math.DS · math.CV · 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{Q5KZTGZOPUGA3BI3K4DTC356X3}

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	2026-05-18T00:33:26.676732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8755999b2e7d0c0d851b5707316fbebeea93387df57d9b62a446ada2d1f24753

Aliases

arxiv: 1009.3647 · arxiv_version: 1009.3647v3 · doi: 10.48550/arxiv.1009.3647 · pith_short_12: Q5KZTGZOPUGA · pith_short_16: Q5KZTGZOPUGA3BI3 · pith_short_8: Q5KZTGZO

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/Q5KZTGZOPUGA3BI3K4DTC356X3 \
  | 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: 8755999b2e7d0c0d851b5707316fbebeea93387df57d9b62a446ada2d1f24753

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0401e3dce7c95902c9553e7ce9a518d9be504629809532351df521e2c4cd073",
    "cross_cats_sorted": [
      "math.CV",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-09-19T16:42:20Z",
    "title_canon_sha256": "b2a1ede6d6dec4907e8e7ac8d1a0d56f9000e0c2b37e6c6ca999d1ded0ab71e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3647",
    "kind": "arxiv",
    "version": 3
  }
}