Pith Number

pith:VNEDGLSE

pith:2015:VNEDGLSEMZRVKJ2JML7FRFGQ3L

not attested not anchored not stored refs pending

Additive bases in groups

Alain Plagne, Th\'ai Ho\`ang L\^e, Victor Lambert

arxiv:1508.02662 v1 · 2015-08-11 · math.NT · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNEDGLSEMZRVKJ2JML7FRFGQ3L}

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	2026-05-18T01:35:28.621482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab48332e44666355274962fe5894d0daee3357465d02d17495dbdc3bc4faa2f8

Aliases

arxiv: 1508.02662 · arxiv_version: 1508.02662v1 · doi: 10.48550/arxiv.1508.02662 · pith_short_12: VNEDGLSEMZRV · pith_short_16: VNEDGLSEMZRVKJ2J · pith_short_8: VNEDGLSE

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/VNEDGLSEMZRVKJ2JML7FRFGQ3L \
  | 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: ab48332e44666355274962fe5894d0daee3357465d02d17495dbdc3bc4faa2f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e46cd02ce3b898e688fefba6dafeb1d6675795df7adbd25fb0d480458c24ab4",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-11T17:22:18Z",
    "title_canon_sha256": "0fa9bea4338f1d2a43103b671dfe6121eaa01ef8430dcd113674abb45f470588"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02662",
    "kind": "arxiv",
    "version": 1
  }
}