Pith Number

pith:5JXGB7LI

pith:2012:5JXGB7LIAYGCYUATPVI4YJKLPR

not attested not anchored not stored refs pending

Fundamental domain of invariant sets and applications

Pengfei Zhang

arxiv:1204.0409 v1 · 2012-04-02 · 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{5JXGB7LIAYGCYUATPVI4YJKLPR}

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	2026-05-17T23:53:18.816822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea6e60fd68060c2c50137d51cc254b7c68dad75f5e0ba2594b31342dea6291b2

Aliases

arxiv: 1204.0409 · arxiv_version: 1204.0409v1 · doi: 10.48550/arxiv.1204.0409 · pith_short_12: 5JXGB7LIAYGC · pith_short_16: 5JXGB7LIAYGCYUAT · pith_short_8: 5JXGB7LI

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/5JXGB7LIAYGCYUATPVI4YJKLPR \
  | 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: ea6e60fd68060c2c50137d51cc254b7c68dad75f5e0ba2594b31342dea6291b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "855fe4d843d9c8e0ae3c13c580230518d04b386390f895ef758125c3386f6b37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-02T14:02:46Z",
    "title_canon_sha256": "430fe3607702b007428e583670644caeec70cf789380b6cad0b2557740f6fd67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0409",
    "kind": "arxiv",
    "version": 1
  }
}