Pith Number

pith:R7BMNZUG

pith:2012:R7BMNZUGTJKTPAMPKQL5AI2S3F

not attested not anchored not stored refs pending

The Geometry of L^k-Canonization I: Rosiness from Efficient Constructibility

Cameron Donnay Hill

arxiv:1210.7882 v1 · 2012-10-30 · 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{R7BMNZUGTJKTPAMPKQL5AI2S3F}

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	2026-05-18T03:41:57.852323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fc2c6e6869a5537818f5417d02352d95cc5fd4a73a4b4f9334a85eecc6ec634

Aliases

arxiv: 1210.7882 · arxiv_version: 1210.7882v1 · doi: 10.48550/arxiv.1210.7882 · pith_short_12: R7BMNZUGTJKT · pith_short_16: R7BMNZUGTJKTPAMP · pith_short_8: R7BMNZUG

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/R7BMNZUGTJKTPAMPKQL5AI2S3F \
  | 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: 8fc2c6e6869a5537818f5417d02352d95cc5fd4a73a4b4f9334a85eecc6ec634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b38f15370da423071ec5ed1e395c86a3023a3da5aea6dab979b7121bee0b29df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-10-30T01:43:23Z",
    "title_canon_sha256": "dd43aa844f2e566b3cdebf92416fd0da12b4086ba8167c1e9f3828fdd06d399e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7882",
    "kind": "arxiv",
    "version": 1
  }
}