Pith Number

pith:N4VY7OLQ

pith:2015:N4VY7OLQE2BT5TMQLP6AEY7TU6

not attested not anchored not stored refs pending

A continuous model for systems of complexity 2 on simple abelian groups

Bal\'azs Szegedy, Pablo Candela

arxiv:1509.04485 v2 · 2015-09-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4VY7OLQE2BT5TMQLP6AEY7TU6}

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	2026-05-18T01:04:50.454152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f2b8fb97026833ecd905bfc0263f3a7ac7300dd598c1be0b6685d055b977e44

Aliases

arxiv: 1509.04485 · arxiv_version: 1509.04485v2 · doi: 10.48550/arxiv.1509.04485 · pith_short_12: N4VY7OLQE2BT · pith_short_16: N4VY7OLQE2BT5TMQ · pith_short_8: N4VY7OLQ

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/N4VY7OLQE2BT5TMQLP6AEY7TU6 \
  | 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: 6f2b8fb97026833ecd905bfc0263f3a7ac7300dd598c1be0b6685d055b977e44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9947869f8f9c45de32b08506497c1ca3577a5806dfd53ebf18741cadf2844bf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-15T10:39:27Z",
    "title_canon_sha256": "4b427a685227bd92800ce8f05d64df1b564ea34b0cbacd741e56104d0f98fae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04485",
    "kind": "arxiv",
    "version": 2
  }
}