Pith Number

pith:ERGGA5DF

pith:2016:ERGGA5DF57JTLWAYY2GEGEPGNW

not attested not anchored not stored refs pending

Skew-symmetric operators and reflexivity

Chafiq Benhida, Kamila Kli\'s-Garlicka, Marek Ptak

arxiv:1605.05724 v1 · 2016-05-18 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ERGGA5DF57JTLWAYY2GEGEPGNW}

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	2026-05-18T01:14:28.535078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

244c607465efd335d818c68c4311e66db6a795fd0e303b24a4a8e78ebe4b0083

Aliases

arxiv: 1605.05724 · arxiv_version: 1605.05724v1 · doi: 10.48550/arxiv.1605.05724 · pith_short_12: ERGGA5DF57JT · pith_short_16: ERGGA5DF57JTLWAY · pith_short_8: ERGGA5DF

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/ERGGA5DF57JTLWAYY2GEGEPGNW \
  | 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: 244c607465efd335d818c68c4311e66db6a795fd0e303b24a4a8e78ebe4b0083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "992ecd317deabae7f7a23af383cacb0327ea08fe894bba8d28a3ee04ac4250fd",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-18T08:00:03Z",
    "title_canon_sha256": "48cdd4d1646e82beacbbececa1ba91ced824a65fa6d93af5a903dcf8c423dd2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05724",
    "kind": "arxiv",
    "version": 1
  }
}