Pith Number

pith:XARZDDNW

pith:2005:XARZDDNWQRCVM5Q3UQ7DS2CIDN

not attested not anchored not stored refs pending

On Grothendieck Subspaces

S. S. Kutateladze

arxiv:math/0504046 v1 · 2005-04-04 · 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{XARZDDNWQRCVM5Q3UQ7DS2CIDN}

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	2026-05-18T04:21:00.909125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b823918db6844556761ba43e3968481b62ef82f78cf231b4b7cd86a13b3faeeb

Aliases

arxiv: math/0504046 · arxiv_version: math/0504046v1 · doi: 10.48550/arxiv.math/0504046 · pith_short_12: XARZDDNWQRCV · pith_short_16: XARZDDNWQRCVM5Q3 · pith_short_8: XARZDDNW

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/XARZDDNWQRCVM5Q3UQ7DS2CIDN \
  | 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: b823918db6844556761ba43e3968481b62ef82f78cf231b4b7cd86a13b3faeeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eedd5d6d565f25eda6c1dc1166935708cbcf5a56ec220df3e75853a1f855e8fa",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2005-04-04T01:14:41Z",
    "title_canon_sha256": "c2dcac06b4fd427eb56b0e38cc90eb864c11824fa9e021fa8bfb3ea94c98cf6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504046",
    "kind": "arxiv",
    "version": 1
  }
}