Pith Number

pith:Q3IFWAN4

pith:2008:Q3IFWAN4CI5VP2WPCPFQUNE4PE

not attested not anchored not stored refs pending

Criteria for Bochner's extension problem

Michael Ruzhansky, Mitsuru Sugimoto

arxiv:0802.0565 v1 · 2008-02-05 · math.AP · 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{Q3IFWAN4CI5VP2WPCPFQUNE4PE}

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	2026-05-18T03:49:10.672729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86d05b01bc123b57eacf13cb0a349c7921af3d3bb4fb65b3368d34a2ffcb37de

Aliases

arxiv: 0802.0565 · arxiv_version: 0802.0565v1 · doi: 10.48550/arxiv.0802.0565 · pith_short_12: Q3IFWAN4CI5V · pith_short_16: Q3IFWAN4CI5VP2WP · pith_short_8: Q3IFWAN4

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/Q3IFWAN4CI5VP2WPCPFQUNE4PE \
  | 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: 86d05b01bc123b57eacf13cb0a349c7921af3d3bb4fb65b3368d34a2ffcb37de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52420459619d33ba9731c9ee658ea4fdf12563e521929527f335502741b20c7d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-02-05T08:54:16Z",
    "title_canon_sha256": "92191237e437c3d98865f628d560bf072de37608563b5160cc08022864e5ad54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.0565",
    "kind": "arxiv",
    "version": 1
  }
}