Pith Number

pith:72X7YL6K

pith:2017:72X7YL6KS3A2L3WVKRIWQKOYHP

not attested not anchored not stored refs pending

Local cohomology and the multi-graded regularity of FI$^m$-modules

Eric Ramos, Liping Li

arxiv:1711.07964 v1 · 2017-11-21 · math.RT · math.AC · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72X7YL6KS3A2L3WVKRIWQKOYHP}

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	2026-05-18T00:29:56.062615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feaffc2fca96c1a5eed554516829d83bea6e4eccd53d1976d0a0fad14c82eb8f

Aliases

arxiv: 1711.07964 · arxiv_version: 1711.07964v1 · doi: 10.48550/arxiv.1711.07964 · pith_short_12: 72X7YL6KS3A2 · pith_short_16: 72X7YL6KS3A2L3WV · pith_short_8: 72X7YL6K

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/72X7YL6KS3A2L3WVKRIWQKOYHP \
  | 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: feaffc2fca96c1a5eed554516829d83bea6e4eccd53d1976d0a0fad14c82eb8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "419951d0273e1a3d5f9953d1b9fa7f9d2d693da352216468a2ce765266a7ae24",
    "cross_cats_sorted": [
      "math.AC",
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-11-21T18:43:32Z",
    "title_canon_sha256": "22631e353a8568ad3643d84942adffffd4a6044ff93b48016ba4c4f36c9b0a5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07964",
    "kind": "arxiv",
    "version": 1
  }
}