Pith Number

pith:VMU44B3S

pith:2010:VMU44B3SWTVNNLAS2JF3NUAZVT

not attested not anchored not stored refs pending

Higher Teichm\"uller Spaces: from SL(2,R) to other Lie groups

Alessandra Iozzi, Anna Wienhard, Marc Burger

arxiv:1004.2894 v4 · 2010-04-16 · math.GT · 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{VMU44B3SWTVNNLAS2JF3NUAZVT}

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	2026-05-18T04:07:05.469072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab29ce0772b4ead6ac12d24bb6d019acc9d4efe1ad2a9340f8531512bd3f9744

Aliases

arxiv: 1004.2894 · arxiv_version: 1004.2894v4 · doi: 10.48550/arxiv.1004.2894 · pith_short_12: VMU44B3SWTVN · pith_short_16: VMU44B3SWTVNNLAS · pith_short_8: VMU44B3S

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/VMU44B3SWTVNNLAS2JF3NUAZVT \
  | 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: ab29ce0772b4ead6ac12d24bb6d019acc9d4efe1ad2a9340f8531512bd3f9744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b91d863a5d49ee4fc14aa926ff49ab2012bbb0cb1b3a947045e024470602a65",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-04-16T17:56:04Z",
    "title_canon_sha256": "1cc0af00c6fd413d5cf6ccb77b6d9e1a24200463cb3ac5c3b0cddf04320dc7a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2894",
    "kind": "arxiv",
    "version": 4
  }
}