Pith Number

pith:LJ5YGV6V

pith:2006:LJ5YGV6VHU57EZ46FV5H2OFSKK

not attested not anchored not stored refs pending

Isomorphisms of algebras of Colombeau generalized functions

Hans Vernaeve

arxiv:math/0612646 v1 · 2006-12-21 · math.FA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJ5YGV6VHU57EZ46FV5H2OFSKK}

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	2026-05-18T00:43:48.206081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a7b8357d53d3bf2679e2d7a7d38b252a0c365945a9cf654a085fde4628dacb0

Aliases

arxiv: math/0612646 · arxiv_version: math/0612646v1 · doi: 10.48550/arxiv.math/0612646 · pith_short_12: LJ5YGV6VHU57 · pith_short_16: LJ5YGV6VHU57EZ46 · pith_short_8: LJ5YGV6V

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/LJ5YGV6VHU57EZ46FV5H2OFSKK \
  | 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: 5a7b8357d53d3bf2679e2d7a7d38b252a0c365945a9cf654a085fde4628dacb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6beb8e61f7a217bcdfd965ad150ea4ae37fce4d1a15e9b4cfeffc860a5a3b89e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2006-12-21T15:03:27Z",
    "title_canon_sha256": "564de759fe99482c9237826dec7551016ceab7167db2ac87e079217caf3d69ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612646",
    "kind": "arxiv",
    "version": 1
  }
}