Pith Number

pith:JJIM7NL2

pith:2010:JJIM7NL2Z2BGSPM5UA5QFVECPZ

not attested not anchored not stored refs pending

Action of the Johnson-Torelli group on Representation Varieties

Eugene Z. Xia, William M. Goldman

arxiv:1003.2825 v2 · 2010-03-14 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJIM7NL2Z2BGSPM5UA5QFVECPZ}

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	2026-05-18T03:39:42.276567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a50cfb57ace82693d9da03b02d4827e64ed5f45fcb516d90aae5b054dec3f09

Aliases

arxiv: 1003.2825 · arxiv_version: 1003.2825v2 · doi: 10.48550/arxiv.1003.2825 · pith_short_12: JJIM7NL2Z2BG · pith_short_16: JJIM7NL2Z2BGSPM5 · pith_short_8: JJIM7NL2

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/JJIM7NL2Z2BGSPM5UA5QFVECPZ \
  | 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: 4a50cfb57ace82693d9da03b02d4827e64ed5f45fcb516d90aae5b054dec3f09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d02f335231291a17298df160259a183c703cacbd38b73d25061fec3840a07b28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-03-14T21:31:24Z",
    "title_canon_sha256": "dc8c7a033ccc5923a210a9dce2312b7d48a712425fa5d45c1b527fa23115ff81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2825",
    "kind": "arxiv",
    "version": 2
  }
}