Pith Number

pith:CGXLXTAD

pith:2013:CGXLXTAD4ZNJYQWAMSBGWWTSTG

not attested not anchored not stored refs pending

On the substitution theorem for rings of semialgebraic functions

Jose F. Fernando

arxiv:1309.3743 v1 · 2013-09-15 · 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{CGXLXTAD4ZNJYQWAMSBGWWTSTG}

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	2026-05-18T01:33:07.038425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11aebbcc03e65a9c42c064826b5a72999ea4ab45a252e61ff498c019e9f7273e

Aliases

arxiv: 1309.3743 · arxiv_version: 1309.3743v1 · doi: 10.48550/arxiv.1309.3743 · pith_short_12: CGXLXTAD4ZNJ · pith_short_16: CGXLXTAD4ZNJYQWA · pith_short_8: CGXLXTAD

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/CGXLXTAD4ZNJYQWAMSBGWWTSTG \
  | 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: 11aebbcc03e65a9c42c064826b5a72999ea4ab45a252e61ff498c019e9f7273e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37ea3cce10815c9ab0510c9cc96b85e0c63e750950561409761741c969ce25fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-15T10:21:02Z",
    "title_canon_sha256": "ff0a95824c84d43ee819f2a5375039ce4fcf068669e7a2ae4594f58c5bdb00a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3743",
    "kind": "arxiv",
    "version": 1
  }
}