Pith Number

pith:IDNISF2M

pith:2011:IDNISF2MGUNOMLBGDJGLS2YCNX

not attested not anchored not stored refs pending

Non-faithful representations of surface groups into SL(2,C) which kill no simple closed curve

Daryl Cooper, Jason Fox Manning

arxiv:1104.4492 v3 · 2011-04-22 · math.GT · 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{IDNISF2MGUNOMLBGDJGLS2YCNX}

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	2026-05-18T02:22:01.257181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40da89174c351ae62c261a4cb96b026de94091b245c321a3a76fd82c8d3301c0

Aliases

arxiv: 1104.4492 · arxiv_version: 1104.4492v3 · doi: 10.48550/arxiv.1104.4492 · pith_short_12: IDNISF2MGUNO · pith_short_16: IDNISF2MGUNOMLBG · pith_short_8: IDNISF2M

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/IDNISF2MGUNOMLBGDJGLS2YCNX \
  | 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: 40da89174c351ae62c261a4cb96b026de94091b245c321a3a76fd82c8d3301c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdab13fcd383bc3a29e9c4b32bec26f77e1e6a657e390d04d3bc4e1b9fe0d394",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-04-22T19:44:32Z",
    "title_canon_sha256": "16aadc97830cbd1f1a069abbea35a4941e0112cabda598724742dc568199a54c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4492",
    "kind": "arxiv",
    "version": 3
  }
}