Pith Number

pith:FHCJMHE5

pith:2013:FHCJMHE57OCXABZACVEOLFZMJQ

not attested not anchored not stored refs pending

On the Krull dimension of rings of semialgebraic functions

J.M. Gamboa, Jos\'e F. Fernando

arxiv:1306.4109 v1 · 2013-06-18 · 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{FHCJMHE57OCXABZACVEOLFZMJQ}

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	2026-05-18T03:20:37.131592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29c4961c9dfb857007201548e5972c4c3d45d0ebb236bf1de5f1a36a2cf2e649

Aliases

arxiv: 1306.4109 · arxiv_version: 1306.4109v1 · doi: 10.48550/arxiv.1306.4109 · pith_short_12: FHCJMHE57OCX · pith_short_16: FHCJMHE57OCXABZA · pith_short_8: FHCJMHE5

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/FHCJMHE57OCXABZACVEOLFZMJQ \
  | 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: 29c4961c9dfb857007201548e5972c4c3d45d0ebb236bf1de5f1a36a2cf2e649

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7926298ef2dbc42d800e52958df2d1dc927162bd14a44c7a7d23307128808ced",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-18T09:05:53Z",
    "title_canon_sha256": "4f7e5be553d73ac004828bf3e3d605386861b4e5ed78cbe9c4c30d4b314cef02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4109",
    "kind": "arxiv",
    "version": 1
  }
}