Pith Number

pith:A6VD5Y5M

pith:2016:A6VD5Y5MXKXRDPTAWY63NCZSAV

not attested not anchored not stored refs pending

Powers of sums and their homological invariants

Hop D. Nguyen, Thanh Vu

arxiv:1607.07380 v3 · 2016-07-25 · 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{A6VD5Y5MXKXRDPTAWY63NCZSAV}

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	2026-05-18T00:09:48.061053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07aa3ee3acbaaf11be60b63db68b32056fa615c384ef21aa413f33f995d27ae5

Aliases

arxiv: 1607.07380 · arxiv_version: 1607.07380v3 · doi: 10.48550/arxiv.1607.07380 · pith_short_12: A6VD5Y5MXKXR · pith_short_16: A6VD5Y5MXKXRDPTA · pith_short_8: A6VD5Y5M

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/A6VD5Y5MXKXRDPTAWY63NCZSAV \
  | 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: 07aa3ee3acbaaf11be60b63db68b32056fa615c384ef21aa413f33f995d27ae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b6e1e9c8fc52b501b0c29b56620c6902b4a3aac7b45fbe338f824c4c864b4ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-07-25T17:43:27Z",
    "title_canon_sha256": "911f0d80565411141d5ce5a50ab786be6c40855a70c18d45ae175ffdce3da2c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07380",
    "kind": "arxiv",
    "version": 3
  }
}