Pith Number

pith:XF3HSKBD

pith:2015:XF3HSKBDMO4L4WNLNAQMGUHX5G

not attested not anchored not stored refs pending

On central stability

Liping Li, Wee Liang Gan

arxiv:1504.07675 v5 · 2015-04-28 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XF3HSKBDMO4L4WNLNAQMGUHX5G}

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	2026-05-18T00:52:02.336667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b97679282363b8be59ab6820c350f7e9bb8889b027ace0978da1b6c7a0e0aa40

Aliases

arxiv: 1504.07675 · arxiv_version: 1504.07675v5 · doi: 10.48550/arxiv.1504.07675 · pith_short_12: XF3HSKBDMO4L · pith_short_16: XF3HSKBDMO4L4WNL · pith_short_8: XF3HSKBD

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/XF3HSKBDMO4L4WNLNAQMGUHX5G \
  | 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: b97679282363b8be59ab6820c350f7e9bb8889b027ace0978da1b6c7a0e0aa40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cacd1cb0851e41f7d272009ecc4fa2e2d5127571a937b7a047522df1878ff96c",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-04-28T22:21:08Z",
    "title_canon_sha256": "3c40ddaa0f7d2c1cd1e0e68039b103aad4056d31b8d96487a2ad93286fe312d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07675",
    "kind": "arxiv",
    "version": 5
  }
}