Pith Number

pith:7EEZNJN5

pith:2005:7EEZNJN5ZGEP7ZOKSSC5OUH6X5

not attested not anchored not stored refs pending

1-Hyperreflexivity and Complete Hyperreflexivity

Kenneth R. Davidson, Rupert H. Levene

arxiv:math/0509182 v1 · 2005-09-08 · 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{7EEZNJN5ZGEP7ZOKSSC5OUH6X5}

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	2026-05-18T02:27:51.439847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f90996a5bdc988ffe5ca9485d750febf502d51f03ef9e3ce8f5e7f258e377a13

Aliases

arxiv: math/0509182 · arxiv_version: math/0509182v1 · doi: 10.48550/arxiv.math/0509182 · pith_short_12: 7EEZNJN5ZGEP · pith_short_16: 7EEZNJN5ZGEP7ZOK · pith_short_8: 7EEZNJN5

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/7EEZNJN5ZGEP7ZOKSSC5OUH6X5 \
  | 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: f90996a5bdc988ffe5ca9485d750febf502d51f03ef9e3ce8f5e7f258e377a13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acaa6c969ebabdc1d707e0e4b362a68d60f3ec4d17d068fae978980eaef03a96",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2005-09-08T14:06:19Z",
    "title_canon_sha256": "278ca33662235c019dd6456dd184dc5f03633ed4d44857fa5618518033191c3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509182",
    "kind": "arxiv",
    "version": 1
  }
}