Pith Number

pith:I54IMICF

pith:2015:I54IMICFM43WGNAFLIKKJTC2RV

not attested not anchored not stored refs pending

Invariant subspaces for some surface groups acting on A2-Euclidean buildings

Anne Parreau

arxiv:1504.03775 v1 · 2015-04-15 · 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{I54IMICFM43WGNAFLIKKJTC2RV}

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.

Cited by

1 paper in Pith

On separated families of Anosov representations

Receipt and verification

First computed	2026-05-18T02:18:42.141942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

477886204567376334055a14a4cc5a8d7b74a30807e4fd6e1a40e6ef47656894

Aliases

arxiv: 1504.03775 · arxiv_version: 1504.03775v1 · doi: 10.48550/arxiv.1504.03775 · pith_short_12: I54IMICFM43W · pith_short_16: I54IMICFM43WGNAF · pith_short_8: I54IMICF

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/I54IMICFM43WGNAFLIKKJTC2RV \
  | 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: 477886204567376334055a14a4cc5a8d7b74a30807e4fd6e1a40e6ef47656894

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8ac0c4e3e575733d1199e88fa24534667f0b67b66f8b72488d64f6ef4ec7953",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-04-15T03:16:14Z",
    "title_canon_sha256": "3098de6bd467b12472def49be2c9045f89b47c97ebf23d0cfd6c76512ff59bb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03775",
    "kind": "arxiv",
    "version": 1
  }
}