Pith Number

pith:MXTCRUCU

pith:2015:MXTCRUCUI6ZWWPJ6S6IH73LBA7

not attested not anchored not stored refs pending

Constraint Satisfaction and Semilinear Expansions of Addition over the Rationals and the Reals

Johan Thapper, Peter Jonsson

arxiv:1506.00479 v1 · 2015-06-01 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXTCRUCUI6ZWWPJ6S6IH73LBA7}

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	2026-05-18T01:59:54.430472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65e628d05447b36b3d3e97907fed6107c2767770a30342bb02c26d8e4e685f46

Aliases

arxiv: 1506.00479 · arxiv_version: 1506.00479v1 · doi: 10.48550/arxiv.1506.00479 · pith_short_12: MXTCRUCUI6ZW · pith_short_16: MXTCRUCUI6ZWWPJ6 · pith_short_8: MXTCRUCU

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/MXTCRUCUI6ZWWPJ6S6IH73LBA7 \
  | 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: 65e628d05447b36b3d3e97907fed6107c2767770a30342bb02c26d8e4e685f46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cba7c2fda030ff248cfe6a071f3988e0d3f095b943db7455661a600d91fe890",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-06-01T12:53:56Z",
    "title_canon_sha256": "fe6f26604adbd3bf24188cbb083b06d5b179cc2965e3e4dccf965e1e493271ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00479",
    "kind": "arxiv",
    "version": 1
  }
}