Pith Number

pith:JGZ2PLTY

pith:2011:JGZ2PLTYOOKXDGRCCYMVIFDRZ3

not attested not anchored not stored refs pending

Weakly maximal representations of surface groups

Alessandra Iozzi, Anna Wienhard, Gabi Ben Simon, Marc Burger, Tobias Hartnick

arxiv:1112.0449 v1 · 2011-12-02 · math.GR · 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{JGZ2PLTYOOKXDGRCCYMVIFDRZ3}

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	2026-05-18T04:07:07.191935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49b3a7ae787395719a221619541471cede6872c3e26bea13cee4179e8ee9ae88

Aliases

arxiv: 1112.0449 · arxiv_version: 1112.0449v1 · doi: 10.48550/arxiv.1112.0449 · pith_short_12: JGZ2PLTYOOKX · pith_short_16: JGZ2PLTYOOKXDGRC · pith_short_8: JGZ2PLTY

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/JGZ2PLTYOOKXDGRCCYMVIFDRZ3 \
  | 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: 49b3a7ae787395719a221619541471cede6872c3e26bea13cee4179e8ee9ae88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eeed12fa43c8e86a59daf812292abbc446210ba4806fcda018e7fec7ca67a36",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-12-02T12:48:32Z",
    "title_canon_sha256": "ed5f1d34fd80913d84fe92ab842d74a33a57d2bf7c67cf7475c5a6f0ab28404b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0449",
    "kind": "arxiv",
    "version": 1
  }
}