Pith Number

pith:GHIAQDXJ

pith:2012:GHIAQDXJIRPOUKA3YDVUVMWX72

not attested not anchored not stored refs pending

On the Morphisms and Transformations of Tsuyoshi Fujiwara (as a concretion of a bidimensional many-sorted general algebra and its application to the equivalence between many-sorted clones and algebraic theories)

Juan Climent Vidal, Juan Soliveres Tur

arxiv:1201.5239 v1 · 2012-01-25 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHIAQDXJIRPOUKA3YDVUVMWX72}

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	2026-05-18T04:03:55.253781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d0080ee9445eea281bc0eb4ab2d7fea5efcdb5e1d62afd396ed3fb169a1a84

Aliases

arxiv: 1201.5239 · arxiv_version: 1201.5239v1 · doi: 10.48550/arxiv.1201.5239 · pith_short_12: GHIAQDXJIRPO · pith_short_16: GHIAQDXJIRPOUKA3 · pith_short_8: GHIAQDXJ

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/GHIAQDXJIRPOUKA3YDVUVMWX72 \
  | 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: 31d0080ee9445eea281bc0eb4ab2d7fea5efcdb5e1d62afd396ed3fb169a1a84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b01761002ea405b89894c4ddbb0c20091a718396bf2f1651b3bf591b093dad8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-01-25T11:34:32Z",
    "title_canon_sha256": "7426f7980f0b4194fbb63bc252d1df2d9a37941f7f98bd858f047602b3f346c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5239",
    "kind": "arxiv",
    "version": 1
  }
}