Pith Number

pith:EOCGUZWL

pith:2019:EOCGUZWLAJ7OMSUSBHIAPNZW55

not attested not anchored not stored refs pending

$F_\sigma$ Games and Reflection in $L(\mathbb{R})$

J. P. Aguilera

arxiv:1906.11762 v1 · 2019-06-27 · 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{EOCGUZWLAJ7OMSUSBHIAPNZW55}

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	2026-05-17T23:42:03.832978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23846a66cb027ee64a9209d007b736ef5b16627e181f76f9932ceebd173ed1bc

Aliases

arxiv: 1906.11762 · arxiv_version: 1906.11762v1 · doi: 10.48550/arxiv.1906.11762 · pith_short_12: EOCGUZWLAJ7O · pith_short_16: EOCGUZWLAJ7OMSUS · pith_short_8: EOCGUZWL

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/EOCGUZWLAJ7OMSUSBHIAPNZW55 \
  | 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: 23846a66cb027ee64a9209d007b736ef5b16627e181f76f9932ceebd173ed1bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d88c6360233a3ccadd7d8f367f7737da8de3e1281d791b26493eeef2b1ced0f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-06-27T16:07:54Z",
    "title_canon_sha256": "915861ddd5ed651f1f4d0a5e81ad77d1be8b63a27a282f0dc10e899b8bb6e2ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11762",
    "kind": "arxiv",
    "version": 1
  }
}