Pith Number

pith:7CBCMZXE

pith:2012:7CBCMZXEFABN2DN7GES4WF3JBD

not attested not anchored not stored refs pending

The exponential-logarithmic equivalence classes of surreal numbers

Micka\"el Matusinski, Salma Kuhlmann

arxiv:1203.4538 v1 · 2012-03-20 · math.AC · 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{7CBCMZXEFABN2DN7GES4WF3JBD}

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	2026-05-18T01:02:59.627769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8822666e42802dd0dbf3125cb176908d42e51d581f005f098b5d9085921cd1d

Aliases

arxiv: 1203.4538 · arxiv_version: 1203.4538v1 · doi: 10.48550/arxiv.1203.4538 · pith_short_12: 7CBCMZXEFABN · pith_short_16: 7CBCMZXEFABN2DN7 · pith_short_8: 7CBCMZXE

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/7CBCMZXEFABN2DN7GES4WF3JBD \
  | 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: f8822666e42802dd0dbf3125cb176908d42e51d581f005f098b5d9085921cd1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37d71c46e21ea9bf3618d94923b08e7b492bb2e50946ee7bc972b6ae88d79379",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-03-20T18:33:07Z",
    "title_canon_sha256": "f4dd72052a65dbc5a357becd03d04942a533739850fcc8363be8c4e40c3be24b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4538",
    "kind": "arxiv",
    "version": 1
  }
}