Pith Number

pith:JFOJ5ZK6

pith:2016:JFOJ5ZK6DK6O7GFXZAZ3UP6YRW

not attested not anchored not stored refs pending

Frobenius actions on local cohomology modules and deformation

Linquan Ma, Pham Hung Quy

arxiv:1606.02059 v2 · 2016-06-07 · 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{JFOJ5ZK6DK6O7GFXZAZ3UP6YRW}

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	2026-05-18T00:44:57.975718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

495c9ee55e1abcef98b7c833ba3fd88da606d6f7d51d781d6d455ba325cae4c0

Aliases

arxiv: 1606.02059 · arxiv_version: 1606.02059v2 · doi: 10.48550/arxiv.1606.02059 · pith_short_12: JFOJ5ZK6DK6O · pith_short_16: JFOJ5ZK6DK6O7GFX · pith_short_8: JFOJ5ZK6

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/JFOJ5ZK6DK6O7GFXZAZ3UP6YRW \
  | 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: 495c9ee55e1abcef98b7c833ba3fd88da606d6f7d51d781d6d455ba325cae4c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "936a5fe8167b6611d6f82227244959cad15b56f76d599d5bce1a0489041bdb70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-06-07T08:29:04Z",
    "title_canon_sha256": "cb274dba3f4f44dee0995aaf897194e071eec349a9b6113e074cd8d1b6a072e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02059",
    "kind": "arxiv",
    "version": 2
  }
}