Pith Number

pith:TTRDSTGK

pith:2012:TTRDSTGKAAYLNMHDC3XR6BSDN2

not attested not anchored not stored refs pending

A hierarchy of clopen graphs on the Baire space

Arnold W. Miller

arxiv:1210.8362 v1 · 2012-10-31 · 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{TTRDSTGKAAYLNMHDC3XR6BSDN2}

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	2026-05-18T03:41:55.254589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ce2394cca0030b6b0e316ef1f06436eb1ca4a382ce4fa76565f253326f06724

Aliases

arxiv: 1210.8362 · arxiv_version: 1210.8362v1 · doi: 10.48550/arxiv.1210.8362 · pith_short_12: TTRDSTGKAAYL · pith_short_16: TTRDSTGKAAYLNMHD · pith_short_8: TTRDSTGK

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/TTRDSTGKAAYLNMHDC3XR6BSDN2 \
  | 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: 9ce2394cca0030b6b0e316ef1f06436eb1ca4a382ce4fa76565f253326f06724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bae601b2b3ea7ffc41c25afacafa101f32092e9d3ff9a014b6f209775473b196",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-10-31T15:20:35Z",
    "title_canon_sha256": "49d344ae7761427252a1c7cc96ef2f71a9bddc9c66f10c0f29cb28a3eb374b37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8362",
    "kind": "arxiv",
    "version": 1
  }
}