Pith Number

pith:GNOAT6SX

pith:2015:GNOAT6SXCD7WH4KAMICKGQ335V

not attested not anchored not stored refs pending

Methods to compute ring invariants and applications: a new class of exotic threefolds

Bachar Alhajjar (IMB)

arxiv:1506.08522 v1 · 2015-06-29 · 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{GNOAT6SXCD7WH4KAMICKGQ335V}

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.

Cited by

1 paper in Pith

Rees algebras of additive group actions

Receipt and verification

First computed	2026-05-18T01:37:44.040613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

335c09fa5710ff63f1406204a3437bed68a809b4adeee9233f651360e66d6326

Aliases

arxiv: 1506.08522 · arxiv_version: 1506.08522v1 · doi: 10.48550/arxiv.1506.08522 · pith_short_12: GNOAT6SXCD7W · pith_short_16: GNOAT6SXCD7WH4KA · pith_short_8: GNOAT6SX

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/GNOAT6SXCD7WH4KAMICKGQ335V \
  | 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: 335c09fa5710ff63f1406204a3437bed68a809b4adeee9233f651360e66d6326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec9ac399e8319c08dac5eeb3ddd46ebf175a8cd221a28526845b911d693e0b2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-06-29T07:14:09Z",
    "title_canon_sha256": "ad8df5f82227c3bdc422ee2465cc12ad825c077398c44e33a74717f679e1793f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08522",
    "kind": "arxiv",
    "version": 1
  }
}