Pith Number

pith:TJZ2EVAE

pith:2015:TJZ2EVAEC6FGJ5SBNDNZN64C3M

not attested not anchored not stored refs pending

Killing transform on regular Dirichlet subspaces

Jiangang Ying, Liping Li

arxiv:1506.02768 v1 · 2015-06-09 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJZ2EVAEC6FGJ5SBNDNZN64C3M}

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	2026-05-18T01:55:41.003092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a73a25404178a64f64168db96fb82db06d5b40e1214a5b970e13bee132b0a22

Aliases

arxiv: 1506.02768 · arxiv_version: 1506.02768v1 · doi: 10.48550/arxiv.1506.02768 · pith_short_12: TJZ2EVAEC6FG · pith_short_16: TJZ2EVAEC6FGJ5SB · pith_short_8: TJZ2EVAE

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/TJZ2EVAEC6FGJ5SBNDNZN64C3M \
  | 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: 9a73a25404178a64f64168db96fb82db06d5b40e1214a5b970e13bee132b0a22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e86bde9e7810e2ce26fe28761f2ec839b3ceb35aacc6cbf51a83258e3fca21c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-09T04:13:29Z",
    "title_canon_sha256": "d5b12059a55fd1552fe68d723fabbe2bc94d8fdb8511f63e3a136b53635c0016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02768",
    "kind": "arxiv",
    "version": 1
  }
}