Pith Number

pith:C7552E53

pith:2016:C7552E53KZ7O47OFQ4QXYY2ZKZ

not attested not anchored not stored refs pending

Flat SML modules and reflexive functors

Carlos Sancho, Fernando Sancho, Pedro Sancho

arxiv:1610.03395 v4 · 2016-10-11 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7552E53KZ7O47OFQ4QXYY2ZKZ}

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	2026-05-18T00:40:41.053418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17fbdd13bb567eee7dc587217c6359565de8b629cfa251108c9f8fab453b81fb

Aliases

arxiv: 1610.03395 · arxiv_version: 1610.03395v4 · doi: 10.48550/arxiv.1610.03395 · pith_short_12: C7552E53KZ7O · pith_short_16: C7552E53KZ7O47OF · pith_short_8: C7552E53

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/C7552E53KZ7O47OFQ4QXYY2ZKZ \
  | 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: 17fbdd13bb567eee7dc587217c6359565de8b629cfa251108c9f8fab453b81fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e8ad3b11090acbb9af1f5f22cae195f6b2515c7bf3297b7cbbdcd2c42059006",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-10-11T15:39:05Z",
    "title_canon_sha256": "8209af3a1ea561d0cdb15cc42b065a5bfa3816645e2fdf7534680c7b370b9013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03395",
    "kind": "arxiv",
    "version": 4
  }
}