Pith Number

pith:KLRWNKMS

pith:2017:KLRWNKMSXF5YLO6FBXGXZ5572X

not attested not anchored not stored refs pending

On invariant fields of vectors and covectors

David L. Wehlau, Yin Chen

arxiv:1708.01593 v2 · 2017-08-04 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLRWNKMSXF5YLO6FBXGXZ5572X}

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	2026-05-18T00:35:46.150096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52e366a992b97b85bbc50dcd7cf7bfd5da787d01617611a4e4845c6b3396cf08

Aliases

arxiv: 1708.01593 · arxiv_version: 1708.01593v2 · doi: 10.48550/arxiv.1708.01593 · pith_short_12: KLRWNKMSXF5Y · pith_short_16: KLRWNKMSXF5YLO6F · pith_short_8: KLRWNKMS

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/KLRWNKMSXF5YLO6FBXGXZ5572X \
  | 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: 52e366a992b97b85bbc50dcd7cf7bfd5da787d01617611a4e4845c6b3396cf08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22bdcbfbbca26f654c7e277eb5ea944d49d5d7831ad7afb91f256aee22f92e90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-08-04T17:23:44Z",
    "title_canon_sha256": "a5c6e2f85f93876e7158d1bd81f59109bdab4ac54285f5dc26e4c7253e1f70ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01593",
    "kind": "arxiv",
    "version": 2
  }
}