Pith Number

pith:HD4L4RLC

pith:2014:HD4L4RLCACMY7SBORLGHUP3KC3

not attested not anchored not stored refs pending

Direct summands of infinite-dimensional polynomial rings

Massoud Tousi, Mehdi Dorreh, Mohsen Asgharzadeh

arxiv:1409.2721 v1 · 2014-09-09 · 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{HD4L4RLCACMY7SBORLGHUP3KC3}

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	2026-05-18T01:00:20.437007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38f8be456200998fc82e8acc7a3f6a16ff3f53273b0b02b4011157100cfa0b25

Aliases

arxiv: 1409.2721 · arxiv_version: 1409.2721v1 · doi: 10.48550/arxiv.1409.2721 · pith_short_12: HD4L4RLCACMY · pith_short_16: HD4L4RLCACMY7SBO · pith_short_8: HD4L4RLC

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/HD4L4RLCACMY7SBORLGHUP3KC3 \
  | 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: 38f8be456200998fc82e8acc7a3f6a16ff3f53273b0b02b4011157100cfa0b25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2525df35106c3880351b6864ef29c74d36bafa51433cdac3667b68698b9321e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-09-09T12:54:12Z",
    "title_canon_sha256": "345e36ca64ae72a2e3e48415c14e0d443564cec44ee34dca3485697d989ae601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2721",
    "kind": "arxiv",
    "version": 1
  }
}