Pith Number

pith:S4ZHO6YP

pith:2011:S4ZHO6YPWXMZVIBVYMPNVUMLXM

not attested not anchored not stored refs pending

Turing degrees of isomorphism types of geometric objects

Alexandra Shlapentokh, Valentina Harizanov, Wesley Calvert

arxiv:1106.2763 v2 · 2011-06-14 · math.LO · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4ZHO6YPWXMZVIBVYMPNVUMLXM}

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	2026-05-18T04:08:44.633932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9732777b0fb5d99aa035c31edad18bbb1a91d9e0b0c13dc7dd8cad3289c32dc6

Aliases

arxiv: 1106.2763 · arxiv_version: 1106.2763v2 · doi: 10.48550/arxiv.1106.2763 · pith_short_12: S4ZHO6YPWXMZ · pith_short_16: S4ZHO6YPWXMZVIBV · pith_short_8: S4ZHO6YP

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/S4ZHO6YPWXMZVIBVYMPNVUMLXM \
  | 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: 9732777b0fb5d99aa035c31edad18bbb1a91d9e0b0c13dc7dd8cad3289c32dc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afec66b2fdef3f2eb95203a1553afec47dce89b8a64e2a1baf5290c2f040b559",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-06-14T16:56:23Z",
    "title_canon_sha256": "0256ab47e2ae7dd8c7db4ae7da333afccaab9bc9a4441937e5fcf2f3a345ebb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2763",
    "kind": "arxiv",
    "version": 2
  }
}