Pith Number

pith:MLT7KIB4

pith:2011:MLT7KIB437OBWBIYYMVY3ZKYAV

not attested not anchored not stored refs pending

Test Map and Discreteness Criteria for Subgroups in PU(1,n;C)

Changjun Li, Xiaoyan Zhang

arxiv:1111.5125 v1 · 2011-11-22 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MLT7KIB437OBWBIYYMVY3ZKYAV}

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	2026-05-18T04:07:53.387666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62e7f5203cdfdc1b0518c32b8de5580569d4011f79dc4fa2073300193ae809b7

Aliases

arxiv: 1111.5125 · arxiv_version: 1111.5125v1 · doi: 10.48550/arxiv.1111.5125 · pith_short_12: MLT7KIB437OB · pith_short_16: MLT7KIB437OBWBIY · pith_short_8: MLT7KIB4

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/MLT7KIB437OBWBIYYMVY3ZKYAV \
  | 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: 62e7f5203cdfdc1b0518c32b8de5580569d4011f79dc4fa2073300193ae809b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06457222fe2c52668e3523b3383a78236e5983b4a494312c38d0d0f937219658",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-11-22T08:47:44Z",
    "title_canon_sha256": "27808f06acf4319aa160d7c6effea2c226024c1b25834835972d4053c48a750b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5125",
    "kind": "arxiv",
    "version": 1
  }
}