Pith Number

pith:JWH4E3XA

pith:2025:JWH4E3XAQ6SEWWKEN6E3IRCJHQ

not attested not anchored not stored refs pending

Nonvanishing Higher Derived Limits without $w\diamondsuit_{\omega_1}$

Nathaniel Bannister

arxiv:2506.14183 v2 · 2025-06-17 · 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{JWH4E3XAQ6SEWWKEN6E3IRCJHQ}

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

Higher limits of wider systems

Receipt and verification

First computed	2026-07-05T11:46:44.108908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d8fc26ee087a44b59446f89b444493c1b37bbe2ea1e3753eee476344fa7e57b

Aliases

arxiv: 2506.14183 · arxiv_version: 2506.14183v2 · doi: 10.48550/arxiv.2506.14183 · pith_short_12: JWH4E3XAQ6SE · pith_short_16: JWH4E3XAQ6SEWWKE · pith_short_8: JWH4E3XA

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/JWH4E3XAQ6SEWWKEN6E3IRCJHQ \
  | 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: 4d8fc26ee087a44b59446f89b444493c1b37bbe2ea1e3753eee476344fa7e57b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "965941997c76a7cb24cc07cce7905f2f0da96c475e26d9d7a99c292930936736",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-06-17T04:51:32Z",
    "title_canon_sha256": "5563d62660f52a9f76763850a57499db63df366fa64d6a5e5807d1e07f34d925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14183",
    "kind": "arxiv",
    "version": 2
  }
}