Pith Number

pith:TZ4FD2UU

pith:2017:TZ4FD2UUILI7RRBO4N2QVDR64A

not attested not anchored not stored refs pending

Injective DG-modules over non-positive DG-rings

Liran Shaul

arxiv:1709.01479 v2 · 2017-09-05 · math.RA · math.AC · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZ4FD2UUILI7RRBO4N2QVDR64A}

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	2026-05-18T00:05:56.628481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e7851ea9442d1f8c42ee3750a8e3ee038194eac59455f915f08e6ea9c31b1c3

Aliases

arxiv: 1709.01479 · arxiv_version: 1709.01479v2 · doi: 10.48550/arxiv.1709.01479 · pith_short_12: TZ4FD2UUILI7 · pith_short_16: TZ4FD2UUILI7RRBO · pith_short_8: TZ4FD2UU

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/TZ4FD2UUILI7RRBO4N2QVDR64A \
  | 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: 9e7851ea9442d1f8c42ee3750a8e3ee038194eac59455f915f08e6ea9c31b1c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daecffbd9df76bad441533ac9bc51b21a61ab234c178c5386e07b6c21038196f",
    "cross_cats_sorted": [
      "math.AC",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-09-05T16:25:21Z",
    "title_canon_sha256": "316e28d29c3728857f18460f5a5c103d54e19c64520edb6a6293fa3693a49f53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01479",
    "kind": "arxiv",
    "version": 2
  }
}