Pith Number

pith:CC5O5YHT

pith:2016:CC5O5YHT2ZV7PQ2SJ5HUPOFG55

not attested not anchored not stored refs pending

p-subgroups in the space Cremona group

Constantin Shramov, Yuri Prokhorov

arxiv:1610.02990 v4 · 2016-10-10 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CC5O5YHT2ZV7PQ2SJ5HUPOFG55}

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	2026-05-18T00:35:46.694384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10baeee0f3d66bf7c3524f4f47b8a6ef469f594bbc737398d46b31e2f6e4743d

Aliases

arxiv: 1610.02990 · arxiv_version: 1610.02990v4 · doi: 10.48550/arxiv.1610.02990 · pith_short_12: CC5O5YHT2ZV7 · pith_short_16: CC5O5YHT2ZV7PQ2S · pith_short_8: CC5O5YHT

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/CC5O5YHT2ZV7PQ2SJ5HUPOFG55 \
  | 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: 10baeee0f3d66bf7c3524f4f47b8a6ef469f594bbc737398d46b31e2f6e4743d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bcd673750860334fe6f0e1d5bcd91afa081ac44590f2b93e2a996842171112a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-10T16:34:10Z",
    "title_canon_sha256": "fe2e235000a5ab68f6875e6d752261d8910e27b4efd7fd68f6357d98dc0ac253"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02990",
    "kind": "arxiv",
    "version": 4
  }
}