Pith Number

pith:NQ5UWTMX

pith:2017:NQ5UWTMXVDSM7D67PWCCMZOGZ7

not attested not anchored not stored refs pending

Zero Sets for Spaces of Analytic Functions

Alex Zhai, Russell Lyons

arxiv:1705.03914 v3 · 2017-05-10 · math.CV · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQ5UWTMXVDSM7D67PWCCMZOGZ7}

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	2026-07-05T01:53:16.594859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c3b4b4d97a8e4cf8fdf7d842665c6cfe4b46b5d6efe6aa1dac6dae59e05a00c

Aliases

arxiv: 1705.03914 · arxiv_version: 1705.03914v3 · doi: 10.48550/arxiv.1705.03914 · pith_short_12: NQ5UWTMXVDSM · pith_short_16: NQ5UWTMXVDSM7D67 · pith_short_8: NQ5UWTMX

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/NQ5UWTMXVDSM7D67PWCCMZOGZ7 \
  | 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: 6c3b4b4d97a8e4cf8fdf7d842665c6cfe4b46b5d6efe6aa1dac6dae59e05a00c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44c29a6a6f5da7b09c7646d1f2488c4ba9810c133010717d5e57ffa706828c77",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-05-10T18:25:52Z",
    "title_canon_sha256": "4fba6076528aa46b752a7f92ff9d57ce2d7922352f24af350838fd14c3199595"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03914",
    "kind": "arxiv",
    "version": 3
  }
}