Pith Number

pith:WM4TCHQL

pith:2019:WM4TCHQL5N45Q7CFNY7D4NNF7X

not attested not anchored not stored refs pending

The Axiom of Determinacy Implies Dependent Choices in Mice

Sandra M\"uller

arxiv:1907.02755 v1 · 2019-07-05 · 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{WM4TCHQL5N45Q7CFNY7D4NNF7X}

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	2026-05-17T23:41:23.275433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b339311e0beb79d87c456e3e3e35a5fdd9d585342cab23a0e414d70e6ddc29ea

Aliases

arxiv: 1907.02755 · arxiv_version: 1907.02755v1 · doi: 10.48550/arxiv.1907.02755 · pith_short_12: WM4TCHQL5N45 · pith_short_16: WM4TCHQL5N45Q7CF · pith_short_8: WM4TCHQL

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/WM4TCHQL5N45Q7CFNY7D4NNF7X \
  | 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: b339311e0beb79d87c456e3e3e35a5fdd9d585342cab23a0e414d70e6ddc29ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bfd62365f80825be9f19af612c66a4533e0b3900ed821c59b51dde2b367fecd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-07-05T10:18:11Z",
    "title_canon_sha256": "4f3c50f387b05000f98749627568c775ae6aed236312ad8c086a869b6105788a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02755",
    "kind": "arxiv",
    "version": 1
  }
}