Pith Number

pith:WHRZ2WDS

pith:2016:WHRZ2WDSNXV373E22IW3RGCCDL

not attested not anchored not stored refs pending

Super-maximal representations from fundamental groups of punctured surfaces to $\mathrm{PSL}(2,\mathbb{R})$

Bertrand Deroin, Nicolas Tholozan

arxiv:1604.00330 v1 · 2016-04-01 · math.GT · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHRZ2WDSNXV373E22IW3RGCCDL}

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	2026-05-18T01:17:53.985691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1e39d58726debbfec9ad22db898421ae9021d456dcab118329df305756be26e

Aliases

arxiv: 1604.00330 · arxiv_version: 1604.00330v1 · doi: 10.48550/arxiv.1604.00330 · pith_short_12: WHRZ2WDSNXV3 · pith_short_16: WHRZ2WDSNXV373E2 · pith_short_8: WHRZ2WDS

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/WHRZ2WDSNXV373E22IW3RGCCDL \
  | 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: b1e39d58726debbfec9ad22db898421ae9021d456dcab118329df305756be26e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9a7d374a23bfa416373bde9afc7480f374b9c4b3d379b7efc6ec5c9ab9342d3",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-04-01T17:00:34Z",
    "title_canon_sha256": "2f01e6491219800b3dcf860b3cd63ed7935f2e87ea6856478b7258606bdeccab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00330",
    "kind": "arxiv",
    "version": 1
  }
}