Pith Number

pith:4ACCCK6U

pith:2014:4ACCCK6UXIRKICEP6GPX5IE4V3

not attested not anchored not stored refs pending

Product of flat modules and global dimension relative to $\mathcal F$-Mittag-Leffler modules

Manuel Cort\'es-Izurdiaga

arxiv:1412.4398 v2 · 2014-12-14 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ACCCK6UXIRKICEP6GPX5IE4V3}

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	2026-05-18T01:24:43.832437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e004212bd4ba22a4088ff19f7ea09caed294af0ce34c0018b6cd3ca697cf9b35

Aliases

arxiv: 1412.4398 · arxiv_version: 1412.4398v2 · doi: 10.48550/arxiv.1412.4398 · pith_short_12: 4ACCCK6UXIRK · pith_short_16: 4ACCCK6UXIRKICEP · pith_short_8: 4ACCCK6U

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/4ACCCK6UXIRKICEP6GPX5IE4V3 \
  | 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: e004212bd4ba22a4088ff19f7ea09caed294af0ce34c0018b6cd3ca697cf9b35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3b8408f5cda3c84bc8cc202afa32b8166d7b3a01368d7b30544a6ae4e27dd17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-12-14T19:40:27Z",
    "title_canon_sha256": "34dfa53159d8463d6dc0476f54f2ca44bf910fb1546d69418843ed6e25bb3270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4398",
    "kind": "arxiv",
    "version": 2
  }
}