Pith Number

pith:GH7UDFBQ

pith:2010:GH7UDFBQDKLIFN5PATGDIVEJBD

not attested not anchored not stored refs pending

On directions determined by subsets of vector spaces over finite fields

Alex Iosevich, Hannah Morgan, Jonathan Pakianathan

arxiv:1010.0749 v3 · 2010-10-05 · math.CA · math.CO · 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{GH7UDFBQDKLIFN5PATGDIVEJBD}

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	2026-05-18T01:36:07.604164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31ff4194301a9682b7af04cc34548908cb18c7f57bbb4d7a68ad3efa10269d68

Aliases

arxiv: 1010.0749 · arxiv_version: 1010.0749v3 · doi: 10.48550/arxiv.1010.0749 · pith_short_12: GH7UDFBQDKLI · pith_short_16: GH7UDFBQDKLIFN5P · pith_short_8: GH7UDFBQ

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/GH7UDFBQDKLIFN5PATGDIVEJBD \
  | 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: 31ff4194301a9682b7af04cc34548908cb18c7f57bbb4d7a68ad3efa10269d68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "241a123d263b450ea14f1be879194a9612393465c1996e8cd015fd11a914bd4d",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-10-05T02:03:57Z",
    "title_canon_sha256": "0c035dfc7732375c345a2cfa917c2ee05e658b1586fda1f9501d11d803f5d02a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0749",
    "kind": "arxiv",
    "version": 3
  }
}