Pith Number

pith:XRGTQJOB

pith:2018:XRGTQJOBRVVAR7XNBKT2GCYU6E

not attested not anchored not stored refs pending

Random Lattices, Punctured Tori and the Teichm\"uller distribution

Gaven J. Martin

arxiv:1807.11127 v1 · 2018-07-29 · 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{XRGTQJOBRVVAR7XNBKT2GCYU6E}

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	2026-05-18T00:09:32.854097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc4d3825c18d6a08feed0aa7a30b14f1040732ed38cc9c46ffbdd02c95141c9e

Aliases

arxiv: 1807.11127 · arxiv_version: 1807.11127v1 · doi: 10.48550/arxiv.1807.11127 · pith_short_12: XRGTQJOBRVVA · pith_short_16: XRGTQJOBRVVAR7XN · pith_short_8: XRGTQJOB

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/XRGTQJOBRVVAR7XNBKT2GCYU6E \
  | 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: bc4d3825c18d6a08feed0aa7a30b14f1040732ed38cc9c46ffbdd02c95141c9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8703b167c06abd0cf0e8659cc12d9c58dddab807c796d1d249e4ee0cd86e183e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-07-29T23:55:02Z",
    "title_canon_sha256": "e80e6f7b93731c7c7451e0463f5892011bdd397fff8b6e59365c9d475318f99d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11127",
    "kind": "arxiv",
    "version": 1
  }
}