Pith Number

pith:EOQNKPFP

pith:2016:EOQNKPFPWW7HP7EWBXWR53GRV6

not attested not anchored not stored refs pending

Uniform Harbourne-Huneke Bounds via Flat Extensions

Robert M. Walker

arxiv:1608.02320 v2 · 2016-08-08 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EOQNKPFPWW7HP7EWBXWR53GRV6}

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	2026-05-18T00:00:09.522964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23a0d53cafb5be77fc960ded1eecd1af98e8d9d3977529098684c82832d5d41b

Aliases

arxiv: 1608.02320 · arxiv_version: 1608.02320v2 · doi: 10.48550/arxiv.1608.02320 · pith_short_12: EOQNKPFPWW7H · pith_short_16: EOQNKPFPWW7HP7EW · pith_short_8: EOQNKPFP

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/EOQNKPFPWW7HP7EWBXWR53GRV6 \
  | 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: 23a0d53cafb5be77fc960ded1eecd1af98e8d9d3977529098684c82832d5d41b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bac3dcc01ace6efa0ce40376c711cbcf9ee743727dd04324b9bea413aab7956",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-08-08T05:18:25Z",
    "title_canon_sha256": "155bedf3f217d8e99031e27161280ccb6e682e1c14284dcfc74f514fd96bd6d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02320",
    "kind": "arxiv",
    "version": 2
  }
}