Pith Number

pith:RCTBSDBC

pith:2018:RCTBSDBC4NMZGYUHCHGA6LSV7C

not attested not anchored not stored refs pending

Subgroups of elliptic elements of the Cremona group

Christian Urech

arxiv:1802.08485 v1 · 2018-02-23 · math.AG · 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{RCTBSDBC4NMZGYUHCHGA6LSV7C}

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	2026-05-18T00:22:43.622983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88a6190c22e35993628711cc0f2e55f8b903c6a06be17b31127ee15c602c57f6

Aliases

arxiv: 1802.08485 · arxiv_version: 1802.08485v1 · doi: 10.48550/arxiv.1802.08485 · pith_short_12: RCTBSDBC4NMZ · pith_short_16: RCTBSDBC4NMZGYUH · pith_short_8: RCTBSDBC

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/RCTBSDBC4NMZGYUHCHGA6LSV7C \
  | 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: 88a6190c22e35993628711cc0f2e55f8b903c6a06be17b31127ee15c602c57f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef362ae1f36e2f34b1b116aedd92d5d2ca7833f3a08fe24a064e7e11c6ca01cd",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-02-23T11:18:45Z",
    "title_canon_sha256": "5e2f6a5c40208ddda8dd1eb1bbfe10f36eebf35180484439e546f26abfeeffa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08485",
    "kind": "arxiv",
    "version": 1
  }
}