Pith Number

pith:UXFPFN5X

pith:2007:UXFPFN5X6WNDLQSHT7SRBRY6NW

not attested not anchored not stored refs pending

An open problem in complex analytic geometry arising in harmonic analysis

Michael Ruzhansky

arxiv:0711.0605 v1 · 2007-11-05 · math.AP · 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{UXFPFN5X6WNDLQSHT7SRBRY6NW}

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	2026-05-18T03:30:26.377900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5caf2b7b7f59a35c2479fe510c71e6da0b3964d8f3b85e2acd2947b035b2e99

Aliases

arxiv: 0711.0605 · arxiv_version: 0711.0605v1 · doi: 10.48550/arxiv.0711.0605 · pith_short_12: UXFPFN5X6WND · pith_short_16: UXFPFN5X6WNDLQSH · pith_short_8: UXFPFN5X

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/UXFPFN5X6WNDLQSHT7SRBRY6NW \
  | 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: a5caf2b7b7f59a35c2479fe510c71e6da0b3964d8f3b85e2acd2947b035b2e99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95ee9b09e6540afba83a0fc679027ba5c52bee780280d3aa6426aeb8f514928e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-11-05T10:55:39Z",
    "title_canon_sha256": "4aaf70cbaa6b2e744a96100caef31a8fe02144d7770b1f4ef2efa03f019baa58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0605",
    "kind": "arxiv",
    "version": 1
  }
}