Pith Number

pith:3TIVO6JR

pith:2017:3TIVO6JREBC3KZOOAJNKNRN6MC

not attested not anchored not stored refs pending

Homological properties of modules with finite weak injective and weak flat dimensions

Tiwei Zhao

arxiv:1704.02456 v1 · 2017-04-08 · math.RA · 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{3TIVO6JREBC3KZOOAJNKNRN6MC}

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	2026-05-18T00:46:45.467269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcd15779312045b565ce025aa6c5be608ba09590cd0d6e563155d36f188d37b1

Aliases

arxiv: 1704.02456 · arxiv_version: 1704.02456v1 · doi: 10.48550/arxiv.1704.02456 · pith_short_12: 3TIVO6JREBC3 · pith_short_16: 3TIVO6JREBC3KZOO · pith_short_8: 3TIVO6JR

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/3TIVO6JREBC3KZOOAJNKNRN6MC \
  | 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: dcd15779312045b565ce025aa6c5be608ba09590cd0d6e563155d36f188d37b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b30362c5ffb7e5747668a204d99408befd4752d84d15b206ddb327f8d49f39d",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-04-08T08:51:28Z",
    "title_canon_sha256": "756401ea98bea553a55b608c090e7bde870a0d146d2d20d22534bb6b752f57bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02456",
    "kind": "arxiv",
    "version": 1
  }
}