Pith Number

pith:WB5GAJ2W

pith:2005:WB5GAJ2WVNOTMES2HTBYZQA3AA

not attested not anchored not stored refs pending

The Mapping Class Group acts reducibly on SU(n)-character varieties

William M. Goldman

arxiv:math/0509115 v2 · 2005-09-06 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WB5GAJ2WVNOTMES2HTBYZQA3AA}

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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.

Cited by

1 paper in Pith

Density of integral points in the Betti moduli of quasi-projective varieties

Receipt and verification

First computed	2026-07-04T15:02:15.559997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b07a602756ab5d36125a3cc38cc01b0023ca7ea1df18398bff35c2c24aaa0660

Aliases

arxiv: math/0509115 · arxiv_version: math/0509115v2 · doi: 10.48550/arxiv.math/0509115 · pith_short_12: WB5GAJ2WVNOT · pith_short_16: WB5GAJ2WVNOTMES2 · pith_short_8: WB5GAJ2W

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/WB5GAJ2WVNOTMES2HTBYZQA3AA \
  | 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: b07a602756ab5d36125a3cc38cc01b0023ca7ea1df18398bff35c2c24aaa0660

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f00eb38bf2e7e0f60c809f0f22f948bcfc2d05837261ef8e0f0fe3d466d94c7f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-09-06T01:47:21Z",
    "title_canon_sha256": "856638c502ddf9616a9398de622a45799c1a225a9ed8ae5b4acf060284a6f1ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509115",
    "kind": "arxiv",
    "version": 2
  }
}