Pith Number

pith:QGZZFO3F

pith:2016:QGZZFO3FPF4YFVJZCEJSHJU67O

not attested not anchored not stored refs pending

On the direct summand conjecture and its derived variant

Bhargav Bhatt

arxiv:1608.08882 v2 · 2016-08-31 · math.AG · 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{QGZZFO3FPF4YFVJZCEJSHJU67O}

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	2026-05-18T00:30:48.863103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81b392bb65797982d539111323a69efbb8d9603e49f8dbc1a763f30691921b89

Aliases

arxiv: 1608.08882 · arxiv_version: 1608.08882v2 · doi: 10.48550/arxiv.1608.08882 · pith_short_12: QGZZFO3FPF4Y · pith_short_16: QGZZFO3FPF4YFVJZ · pith_short_8: QGZZFO3F

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/QGZZFO3FPF4YFVJZCEJSHJU67O \
  | 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: 81b392bb65797982d539111323a69efbb8d9603e49f8dbc1a763f30691921b89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d0e15ff3b7ada82150fd11b8055a43dea7153abc7861388f9225ae8a1ee9947",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-31T14:31:12Z",
    "title_canon_sha256": "00f3cc7476be482470b79fabcbb30269e84a5809f906a4ea674bba045b31d37b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08882",
    "kind": "arxiv",
    "version": 2
  }
}