Pith Number

pith:XDSWBTLR

pith:2007:XDSWBTLRBXY5O6XY67IUYVHENX

not attested not anchored not stored refs pending

A geometric approach to full Colombeau algebras

Roland Steinbauer

arxiv:0710.2096 v2 · 2007-10-10 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDSWBTLRBXY5O6XY67IUYVHENX}

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	2026-05-18T04:20:39.148731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8e560cd710df1d77af8f7d14c54e46dc64f5eedf898e31d34745b9a6ff2b7cc

Aliases

arxiv: 0710.2096 · arxiv_version: 0710.2096v2 · doi: 10.48550/arxiv.0710.2096 · pith_short_12: XDSWBTLRBXY5 · pith_short_16: XDSWBTLRBXY5O6XY · pith_short_8: XDSWBTLR

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/XDSWBTLRBXY5O6XY67IUYVHENX \
  | 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: b8e560cd710df1d77af8f7d14c54e46dc64f5eedf898e31d34745b9a6ff2b7cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8e72096bb8f4c1399be1dcaf9c45761eb0301b14aaf3b8f0b9246bdbec29e4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2007-10-10T19:21:14Z",
    "title_canon_sha256": "f5c66116f0da61f2e05dcc591bc0e7bdf2c7515c86fb1f289e0949a01087a19b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2096",
    "kind": "arxiv",
    "version": 2
  }
}