Pith Number

pith:SX2AUGU5

pith:2013:SX2AUGU5DBGDIYIOZWALMX5BSE

not attested not anchored not stored refs pending

Symmetric Quantum Calculus

Artur M. C. Brito da Cruz

arxiv:1306.1327 v1 · 2013-06-06 · math.CA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SX2AUGU5DBGDIYIOZWALMX5BSE}

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	2026-05-18T03:21:34.596798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95f40a1a9d184c34610ecd80b65fa191300daf5535433c187ab5ea956fd13848

Aliases

arxiv: 1306.1327 · arxiv_version: 1306.1327v1 · doi: 10.48550/arxiv.1306.1327 · pith_short_12: SX2AUGU5DBGD · pith_short_16: SX2AUGU5DBGDIYIO · pith_short_8: SX2AUGU5

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/SX2AUGU5DBGDIYIOZWALMX5BSE \
  | 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: 95f40a1a9d184c34610ecd80b65fa191300daf5535433c187ab5ea956fd13848

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49836b1f0b38fa01e348f2215c129f66d1b631d6cab12c07613618f66c6edea7",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-06-06T07:55:50Z",
    "title_canon_sha256": "6bc88e36bca45e1c35071d5e7bc6719ee5b105d1b0d87a8a65ca604b9ac9c748"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1327",
    "kind": "arxiv",
    "version": 1
  }
}