Pith Number

pith:2U32QDWU

pith:2026:2U32QDWU7XOSPEN3NM4KMJFJCZ

not attested not anchored not stored refs pending

HRT counterexamples with exponential tails

Dustin G. Mixon, John Jasper

arxiv:2608.13539 v1 · 2026-08-13 · 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{2U32QDWU7XOSPEN3NM4KMJFJCZ}

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	2026-08-14T01:24:59.641947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d537a80ed4fddd2791bb6b38a624a9164259a4096d9e2e50b694b3c3bef15535

Aliases

arxiv: 2608.13539 · arxiv_version: 2608.13539v1 · doi: 10.48550/arxiv.2608.13539 · pith_short_12: 2U32QDWU7XOS · pith_short_16: 2U32QDWU7XOSPEN3 · pith_short_8: 2U32QDWU

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/2U32QDWU7XOSPEN3NM4KMJFJCZ \
  | 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: d537a80ed4fddd2791bb6b38a624a9164259a4096d9e2e50b694b3c3bef15535

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eedf14fd8250bf166991c874c152aa841d6a49e4fc20b83595470849d42d0e6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-08-13T17:54:31Z",
    "title_canon_sha256": "edf65451804bdd9cedc3eaf7e174f18372c10761e43dbf9b765428047cd11f22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13539",
    "kind": "arxiv",
    "version": 1
  }
}