Pith Number

pith:HGZYKZHO

pith:2016:HGZYKZHO2KM7OC66QEWYH5JD2A

not attested not anchored not stored refs pending

On the associated primes of local cohomology

Hailong Dao, Pham Hung Quy

arxiv:1602.00421 v2 · 2016-02-01 · 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{HGZYKZHO2KM7OC66QEWYH5JD2A}

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	2026-05-18T01:19:53.041296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39b38564eed299f70bde812d83f523d00a1d34531ce2e7edf3734497b3562b3a

Aliases

arxiv: 1602.00421 · arxiv_version: 1602.00421v2 · doi: 10.48550/arxiv.1602.00421 · pith_short_12: HGZYKZHO2KM7 · pith_short_16: HGZYKZHO2KM7OC66 · pith_short_8: HGZYKZHO

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/HGZYKZHO2KM7OC66QEWYH5JD2A \
  | 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: 39b38564eed299f70bde812d83f523d00a1d34531ce2e7edf3734497b3562b3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "567b03f8af90fef70569f320aa542961674d6d0100878328575ff54d0cac1f3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-02-01T08:16:13Z",
    "title_canon_sha256": "6258f17052e556eb547efeebda4fa0214ec30455730e1745372bb8d84a6dc8b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00421",
    "kind": "arxiv",
    "version": 2
  }
}