Pith Number

pith:GGIJW33W

pith:2017:GGIJW33WKB4SP7BP7RF44GTC4B

not attested not anchored not stored refs pending

A Discontinuous Differential Calculus in the Framework Colombeau's Full Algebra

Antonio R. G. Garcia, Severino H. da Silva, Wagner Cortes

arxiv:1706.02810 v1 · 2017-06-09 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGIJW33WKB4SP7BP7RF44GTC4B}

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	2026-05-18T00:42:40.848718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31909b6f76507927fc2ffc4bce1a62e0796aa1387e20b059ae3f33692dad1a11

Aliases

arxiv: 1706.02810 · arxiv_version: 1706.02810v1 · doi: 10.48550/arxiv.1706.02810 · pith_short_12: GGIJW33WKB4S · pith_short_16: GGIJW33WKB4SP7BP · pith_short_8: GGIJW33W

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/GGIJW33WKB4SP7BP7RF44GTC4B \
  | 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: 31909b6f76507927fc2ffc4bce1a62e0796aa1387e20b059ae3f33692dad1a11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eebfa87cf9b06750ffb0d3013148382ba6f9e8d298f84904ca8debe912bc04bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-06-09T01:55:56Z",
    "title_canon_sha256": "d8b2ce4e937390b4900d7d2fc05554973572973d26595ea1de8f7399c285172a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02810",
    "kind": "arxiv",
    "version": 1
  }
}