Pith Number

pith:7VRGI5RH

pith:2000:7VRGI5RHGFSYEJPEYGXBZTY55I

not attested not anchored not stored refs pending

The uncountable spectra of countable theories

Bradd Hart, Ehud Hrushovski, Michael C. Laskowski

arxiv:math/0007199 v1 · 2000-07-01 · 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{7VRGI5RHGFSYEJPEYGXBZTY55I}

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	2026-05-18T01:05:38.449489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd6264762731658225e4c1ae1ccf1dea01204dea4916008202142df3d8142edf

Aliases

arxiv: math/0007199 · arxiv_version: math/0007199v1 · doi: 10.48550/arxiv.math/0007199 · pith_short_12: 7VRGI5RHGFSY · pith_short_16: 7VRGI5RHGFSYEJPE · pith_short_8: 7VRGI5RH

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/7VRGI5RHGFSYEJPEYGXBZTY55I \
  | 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: fd6264762731658225e4c1ae1ccf1dea01204dea4916008202142df3d8142edf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba8f7def2fb185005b9f3edd9b5247131ea07b2745de2b88dbc56dcbfd5c7b31",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2000-07-01T00:00:00Z",
    "title_canon_sha256": "3c1a8bb675747db231e262fa72b250526d70ac8c442b4d01328eecd3be03f4cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0007199",
    "kind": "arxiv",
    "version": 1
  }
}