Pith Number

pith:RMWAVICS

pith:2018:RMWAVICSBCXPMUD2F7SAGCYLC6

not attested not anchored not stored refs pending

Asymptotic vanishing of homogeneous components of multigraded modules and its applications

Futoshi Hayasaka

arxiv:1807.11670 v1 · 2018-07-31 · 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{RMWAVICSBCXPMUD2F7SAGCYLC6}

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	2026-05-18T00:09:21.465074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b2c0aa05208aef6507a2fe4030b0b17b96f0a251cddf83fd4f6aa5a46dfe058

Aliases

arxiv: 1807.11670 · arxiv_version: 1807.11670v1 · doi: 10.48550/arxiv.1807.11670 · pith_short_12: RMWAVICSBCXP · pith_short_16: RMWAVICSBCXPMUD2 · pith_short_8: RMWAVICS

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/RMWAVICSBCXPMUD2F7SAGCYLC6 \
  | 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: 8b2c0aa05208aef6507a2fe4030b0b17b96f0a251cddf83fd4f6aa5a46dfe058

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a9c98d8c012c2ccf6e4dac73d97420f1e4467e1931f8b8e607b11a00011b21a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-07-31T05:44:55Z",
    "title_canon_sha256": "acfac0c13a6c48829505bb844f2f2ef2b8e0defef8a8e1fece7ff61399b92329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11670",
    "kind": "arxiv",
    "version": 1
  }
}