Pith Number

pith:WRWONMJJ

pith:2013:WRWONMJJMYWYS3LIREI6HFBJU6

not attested not anchored not stored refs pending

Invariance and definability, with and without equality

Denis Bonnay, Fredrik Engstr\"om

arxiv:1308.1565 v1 · 2013-08-07 · 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{WRWONMJJMYWYS3LIREI6HFBJU6}

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	2026-05-18T00:23:02.307560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b46ce6b129662d896d688911e39429a7980e172d65f960b80612ad601b50257b

Aliases

arxiv: 1308.1565 · arxiv_version: 1308.1565v1 · doi: 10.48550/arxiv.1308.1565 · pith_short_12: WRWONMJJMYWY · pith_short_16: WRWONMJJMYWYS3LI · pith_short_8: WRWONMJJ

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/WRWONMJJMYWYS3LIREI6HFBJU6 \
  | 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: b46ce6b129662d896d688911e39429a7980e172d65f960b80612ad601b50257b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9369c4a55c0540d76ca1adb0df98c9271a4cc203ed2111244a0f21d2b587df2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-08-07T13:26:10Z",
    "title_canon_sha256": "54fa788f5cfce20f1c3b5124d0e091c85515aa69b4511b75d6ac5e113f4738b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1565",
    "kind": "arxiv",
    "version": 1
  }
}