Pith Number

pith:3CUNCDNJ

pith:2018:3CUNCDNJNLVCCSHBAAUQAPM2AL

not attested not anchored not stored refs pending

Functors of modules associated with flat and projective modules II

Adri\'an Gordillo-Merino, Jos\'e Navarro, Pedro Sancho

arxiv:1811.11487 v1 · 2018-11-28 · 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{3CUNCDNJNLVCCSHBAAUQAPM2AL}

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	2026-05-17T23:59:40.964490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8a8d10da96aea2148e10029003d9a02f87262b7ef5d18463f0b4f5f22487088

Aliases

arxiv: 1811.11487 · arxiv_version: 1811.11487v1 · doi: 10.48550/arxiv.1811.11487 · pith_short_12: 3CUNCDNJNLVC · pith_short_16: 3CUNCDNJNLVCCSHB · pith_short_8: 3CUNCDNJ

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/3CUNCDNJNLVCCSHBAAUQAPM2AL \
  | 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: d8a8d10da96aea2148e10029003d9a02f87262b7ef5d18463f0b4f5f22487088

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ed9aa7395c0c7648e48c7afc061cd18c60e8466f416fcd85c5d46a436322459",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-11-28T10:34:22Z",
    "title_canon_sha256": "b11a34b082f153eba8928bdd245fdde2be2cf2e2934ecaf643d9439d63e52f8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11487",
    "kind": "arxiv",
    "version": 1
  }
}