Pith Number

pith:PCAF2YTK

pith:2004:PCAF2YTKWMTJAD5SFWLMMWJTO4

not attested not anchored not stored refs pending

Semi-Eberlein spaces

A. Leiderman, W. Kubi\'s

arxiv:math/0407222 v1 · 2004-07-13 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCAF2YTKWMTJAD5SFWLMMWJTO4}

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	2026-05-18T03:42:34.327913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78805d626ab326900fb22d96c65933771ac38a514c44641dca3192d03e826d29

Aliases

arxiv: math/0407222 · arxiv_version: math/0407222v1 · doi: 10.48550/arxiv.math/0407222 · pith_short_12: PCAF2YTKWMTJ · pith_short_16: PCAF2YTKWMTJAD5S · pith_short_8: PCAF2YTK

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/PCAF2YTKWMTJAD5SFWLMMWJTO4 \
  | 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: 78805d626ab326900fb22d96c65933771ac38a514c44641dca3192d03e826d29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7deb9faf2b30ba23a60dcf48e7a4529bcd574fbd73f1c0d79c0f6aba48a2aaad",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GN",
    "submitted_at": "2004-07-13T17:34:43Z",
    "title_canon_sha256": "475360b15de7c38aadbd908ff0ad02bb5d0b3c3a968895d9598579f8b90f5c8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407222",
    "kind": "arxiv",
    "version": 1
  }
}