Pith Number

pith:UWLQZX63

pith:2015:UWLQZX63CTXLEH54GW7KIKZ4UD

not attested not anchored not stored refs pending

Gap Theorem for Separated Sequences without Pain

Alexander Ulanovskii, Anton Baranov, Yurii Belov

arxiv:1509.01030 v1 · 2015-09-03 · math.CV · 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{UWLQZX63CTXLEH54GW7KIKZ4UD}

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	2026-05-18T01:34:04.505049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5970cdfdb14eeb21fbc35bea42b3ca0c5250c94a2f8703347c3cf36233c3ef9

Aliases

arxiv: 1509.01030 · arxiv_version: 1509.01030v1 · doi: 10.48550/arxiv.1509.01030 · pith_short_12: UWLQZX63CTXL · pith_short_16: UWLQZX63CTXLEH54 · pith_short_8: UWLQZX63

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/UWLQZX63CTXLEH54GW7KIKZ4UD \
  | 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: a5970cdfdb14eeb21fbc35bea42b3ca0c5250c94a2f8703347c3cf36233c3ef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9947360a08ae240b7e16fba0825d3b6e340d395312de86fae936c1bec2ca7b26",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-09-03T10:55:24Z",
    "title_canon_sha256": "7aa8bb2040d8ceac98ebd0c178c5d391d095a0337b577fbda64a544c130b6e71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01030",
    "kind": "arxiv",
    "version": 1
  }
}