Pith Number

pith:GDKFIZG5

pith:1997:GDKFIZG5DAYCZU5VND3WDDFKYR

not attested not anchored not stored refs pending

$\square_\kappa^{<\omega}$ holds in $L[{\vec E}]$

Ernest Schimmerling

arxiv:math/9702205 v1 · 1997-02-18 · 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{GDKFIZG5DAYCZU5VND3WDDFKYR}

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	2026-05-18T01:05:37.211118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30d45464dd18302cd3b568f7618caac45b4968a007e5bc16ec1a89eb9c8786dc

Aliases

arxiv: math/9702205 · arxiv_version: math/9702205v1 · doi: 10.48550/arxiv.math/9702205 · pith_short_12: GDKFIZG5DAYC · pith_short_16: GDKFIZG5DAYCZU5V · pith_short_8: GDKFIZG5

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/GDKFIZG5DAYCZU5VND3WDDFKYR \
  | 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: 30d45464dd18302cd3b568f7618caac45b4968a007e5bc16ec1a89eb9c8786dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e72f38ddb75db7b10ffd9971716e8aff6e90f0ffcb6175997ad77cf28a179b1f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1997-02-18T00:00:00Z",
    "title_canon_sha256": "6614e59b6442327270e3da0d11f2c282ebe796bfb4cce1a087fb358d1c698493"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9702205",
    "kind": "arxiv",
    "version": 1
  }
}