Pith Number

pith:6MGUIROR

pith:2012:6MGUIRORGQSEHUTN2LRXPVZ3PF

not attested not anchored not stored refs pending

Interpreting the projective hierarchy in expansions of the real line

Michael Tychonievich, Philipp Hieronymi

arxiv:1203.6299 v3 · 2012-03-28 · 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{6MGUIRORGQSEHUTN2LRXPVZ3PF}

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	2026-05-18T01:30:32.094120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f30d4445d1342443d26dd2e377d73b79708d14976873ecef7201ff46be115ace

Aliases

arxiv: 1203.6299 · arxiv_version: 1203.6299v3 · doi: 10.48550/arxiv.1203.6299 · pith_short_12: 6MGUIRORGQSE · pith_short_16: 6MGUIRORGQSEHUTN · pith_short_8: 6MGUIROR

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/6MGUIRORGQSEHUTN2LRXPVZ3PF \
  | 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: f30d4445d1342443d26dd2e377d73b79708d14976873ecef7201ff46be115ace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a5da54973b41d630cbad25543bb1e72976fb6e3921953523a663b64d2875ef0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-03-28T15:40:39Z",
    "title_canon_sha256": "88ff0e00ed5d70ed878bde8ef84e0037253cbaed570590aed18ae56f8da29463"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6299",
    "kind": "arxiv",
    "version": 3
  }
}