Pith Number

pith:IE4L4SVI

pith:2013:IE4L4SVILH6E5LVMHYSEILHJXT

not attested not anchored not stored refs pending

Complex Lines with Restricted Angles

Aidan Roy

arxiv:1306.0978 v1 · 2013-06-05 · math.CO · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IE4L4SVILH6E5LVMHYSEILHJXT}

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	2026-05-18T03:21:44.717774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4138be4aa859fc4eaeac3e24442ce9bce9a1a77a900aab1a62cbe45688cce96b

Aliases

arxiv: 1306.0978 · arxiv_version: 1306.0978v1 · doi: 10.48550/arxiv.1306.0978 · pith_short_12: IE4L4SVILH6E · pith_short_16: IE4L4SVILH6E5LVM · pith_short_8: IE4L4SVI

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/IE4L4SVILH6E5LVMHYSEILHJXT \
  | 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: 4138be4aa859fc4eaeac3e24442ce9bce9a1a77a900aab1a62cbe45688cce96b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a60033bd7033fddd10fa19d20a10f7429eee295ae30520fcd14e2f2a39e7d034",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-05T04:19:52Z",
    "title_canon_sha256": "ea9cd7a5fa2df419ef8b7dd696090edd731555ebca413c0b31b79d2db3ecc570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0978",
    "kind": "arxiv",
    "version": 1
  }
}