Pith Number

pith:DW47OPTX

pith:2012:DW47OPTXA5BFRUDQGF2GWZ5KH4

not attested not anchored not stored refs pending

Equilateral triangles in Z^4

Eugen J. Ionascu

arxiv:1209.0147 v4 · 2012-09-02 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DW47OPTXA5BFRUDQGF2GWZ5KH4}

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	2026-05-18T03:18:31.651020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1db9f73e77074258d07031746b67aa3f10b64f82d54a25839c7ae405eda60012

Aliases

arxiv: 1209.0147 · arxiv_version: 1209.0147v4 · doi: 10.48550/arxiv.1209.0147 · pith_short_12: DW47OPTXA5BF · pith_short_16: DW47OPTXA5BFRUDQ · pith_short_8: DW47OPTX

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/DW47OPTXA5BFRUDQGF2GWZ5KH4 \
  | 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: 1db9f73e77074258d07031746b67aa3f10b64f82d54a25839c7ae405eda60012

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdf69557f0d0b051c12988dd6cad832482f05ffd14f5d929a26851d663442b16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-02T03:49:55Z",
    "title_canon_sha256": "95708d04695e71b96588c74b76519161498313db90ca3fffb32262f38c6d8d1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0147",
    "kind": "arxiv",
    "version": 4
  }
}