Pith Number

pith:GYXROXN3

pith:2024:GYXROXN3LKF6RBMLHS3TDTXHFL

not attested not anchored not stored refs pending

Scott Spectral Gaps are Bounded for Linear Orderings

David Gonzalez, Matthew Harrison-Trainor

arxiv:2411.12084 v2 · 2024-11-18 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYXROXN3LKF6RBMLHS3TDTXHFL}

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.

Cited by

1 paper in Pith

Computable Scott Sentences and the Friedman-Stanley embedding

Receipt and verification

First computed	2026-07-05T10:57:20.968656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

362f175dbb5a8be8858b3cb731cee72acf37325ed2bed2652235af5131a8ef15

Aliases

arxiv: 2411.12084 · arxiv_version: 2411.12084v2 · doi: 10.48550/arxiv.2411.12084 · pith_short_12: GYXROXN3LKF6 · pith_short_16: GYXROXN3LKF6RBML · pith_short_8: GYXROXN3

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/GYXROXN3LKF6RBMLHS3TDTXHFL \
  | 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: 362f175dbb5a8be8858b3cb731cee72acf37325ed2bed2652235af5131a8ef15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a82ec357c084f8a69446cfb97b1fa5099cf91d7e75c387e511c37caf5f8ac0c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2024-11-18T21:49:46Z",
    "title_canon_sha256": "b0159ca77452af74f4e22a89c74e2dc4628826cb972a15a956035a3eb1e6402c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.12084",
    "kind": "arxiv",
    "version": 2
  }
}