Pith Number

pith:FQULFWVU

pith:2013:FQULFWVUSU6LVNJMR4N52T4DX3

not attested not anchored not stored refs pending

Subspaces of $C^\infty$ invariant under the differentiation

Alexandru Aleman, Anton Baranov, Yurii Belov

arxiv:1309.6968 v2 · 2013-09-26 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQULFWVUSU6LVNJMR4N52T4DX3}

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	2026-05-18T03:03:44.058102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c28b2dab4953cbab52c8f1bdd4f83bee17ef6ea96446e13547421927623674e

Aliases

arxiv: 1309.6968 · arxiv_version: 1309.6968v2 · doi: 10.48550/arxiv.1309.6968 · pith_short_12: FQULFWVUSU6L · pith_short_16: FQULFWVUSU6LVNJM · pith_short_8: FQULFWVU

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/FQULFWVUSU6LVNJMR4N52T4DX3 \
  | 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: 2c28b2dab4953cbab52c8f1bdd4f83bee17ef6ea96446e13547421927623674e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62db41e8a49cd8b13f03d15dffb41fa0c4e01ba0b883c4709af83cf39cbd2976",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-09-26T17:01:48Z",
    "title_canon_sha256": "96619d5db5d387bc3f7428f2f856523a0dba0633a1fa33e51c4deb545e2c3d74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6968",
    "kind": "arxiv",
    "version": 2
  }
}