Pith Number

pith:3HMKFUAF

pith:2017:3HMKFUAFRTQHMJQLZLO3YLBW67

not attested not anchored not stored refs pending

Annihilators in $\mathbb{N}^k$-graded and $\mathbb{Z}^k$-graded rings

Thomas Huettemann

arxiv:1703.01796 v3 · 2017-03-06 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HMKFUAFRTQHMJQLZLO3YLBW67}

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	2026-05-18T00:26:30.370729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9d8a2d0058ce076260bcaddbc2c36f7e481a9b2ae019e4f8410f36a08fed3bf

Aliases

arxiv: 1703.01796 · arxiv_version: 1703.01796v3 · doi: 10.48550/arxiv.1703.01796 · pith_short_12: 3HMKFUAFRTQH · pith_short_16: 3HMKFUAFRTQHMJQL · pith_short_8: 3HMKFUAF

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/3HMKFUAFRTQHMJQLZLO3YLBW67 \
  | 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: d9d8a2d0058ce076260bcaddbc2c36f7e481a9b2ae019e4f8410f36a08fed3bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eca6db9a7f80db4eaf2fb477695f7d8dcbf1a17da43ad4769b87d0ee8484e01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-03-06T10:03:00Z",
    "title_canon_sha256": "269bb3ac6eb77b8c0f854655bdd0881e991d1c62ba9c94c73bf22899d9df00ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01796",
    "kind": "arxiv",
    "version": 3
  }
}