Pith Number

pith:3XRL4B6B

pith:2005:3XRL4B6BHGEIDPDHJJC7HSEYJE

not attested not anchored not stored refs pending

Non-injective representations of a closed surface group into $PSL(2,\mathbb R)$

Louis Funar, Maxime Wolff

arxiv:math/0502585 v1 · 2005-02-28 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XRL4B6BHGEIDPDHJJC7HSEYJE}

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	2026-05-18T01:11:27.888595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dde2be07c1398881bc674a45f3c898493df7f15374b4f1e6ea47186b686d3a64

Aliases

arxiv: math/0502585 · arxiv_version: math/0502585v1 · doi: 10.48550/arxiv.math/0502585 · pith_short_12: 3XRL4B6BHGEI · pith_short_16: 3XRL4B6BHGEIDPDH · pith_short_8: 3XRL4B6B

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/3XRL4B6BHGEIDPDHJJC7HSEYJE \
  | 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: dde2be07c1398881bc674a45f3c898493df7f15374b4f1e6ea47186b686d3a64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c12fa5cc7c429c414c5290120ca78340fc06cfc41a1b609da51d422edc6e21d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-02-28T17:45:44Z",
    "title_canon_sha256": "beff89641aac46f9bf043f090300a62faec709e335c4863dbcf2e9f954598ae8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502585",
    "kind": "arxiv",
    "version": 1
  }
}