Pith Number

pith:PXFT7FNH

pith:2017:PXFT7FNHZERPJ6G7YTR7WH65RX

not attested not anchored not stored refs pending

Left-exact Mittag-Leffler functors of modules

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

arxiv:1710.04153 v5 · 2017-10-11 · math.CT · 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{PXFT7FNHZERPJ6G7YTR7WH65RX}

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	2026-05-17T23:49:57.524986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dcb3f95a7c922f4f8dfc4e3fb1fdd8dd15206ceaeeceafc367f7cb29a982176

Aliases

arxiv: 1710.04153 · arxiv_version: 1710.04153v5 · doi: 10.48550/arxiv.1710.04153 · pith_short_12: PXFT7FNHZERP · pith_short_16: PXFT7FNHZERPJ6G7 · pith_short_8: PXFT7FNH

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/PXFT7FNHZERPJ6G7YTR7WH65RX \
  | 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: 7dcb3f95a7c922f4f8dfc4e3fb1fdd8dd15206ceaeeceafc367f7cb29a982176

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "138302c0d6117384460002445efe19969a4f3935accde8aedf065d74cde2bfc2",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-10-11T16:25:17Z",
    "title_canon_sha256": "e2c2461c4c04d4a1f8f3b19f360aaea53dd94716d712f9b08c19ff80c7b5856e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04153",
    "kind": "arxiv",
    "version": 5
  }
}