Pith Number

pith:G6RRUBDL

pith:2018:G6RRUBDLNC5NLOTHV2YFKOSDHY

not attested not anchored not stored refs pending

On growth of the set $A(A+1)$ in arbitrary finite fields

Ali Mohammadi

arxiv:1807.11065 v1 · 2018-07-29 · 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{G6RRUBDLNC5NLOTHV2YFKOSDHY}

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	2026-05-18T00:09:33.046951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37a31a046b68bad5ba67aeb0553a433e2019a6cfde186ed11686023d1e2a623e

Aliases

arxiv: 1807.11065 · arxiv_version: 1807.11065v1 · doi: 10.48550/arxiv.1807.11065 · pith_short_12: G6RRUBDLNC5N · pith_short_16: G6RRUBDLNC5NLOTH · pith_short_8: G6RRUBDL

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/G6RRUBDLNC5NLOTHV2YFKOSDHY \
  | 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: 37a31a046b68bad5ba67aeb0553a433e2019a6cfde186ed11686023d1e2a623e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a7bb778727ac8cee4e404c9f824f78a356d7864c6e0e964b82750fb412e20ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-29T14:53:51Z",
    "title_canon_sha256": "0370f8c1c6079cf544d3d9b73b79b73a6e5120316899b4e687c344656323f2ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11065",
    "kind": "arxiv",
    "version": 1
  }
}