Pith Number

pith:52JB2G55

pith:2017:52JB2G55AG2OU2NISLHJY6C42T

not attested not anchored not stored refs pending

Ideals in $\mathcal{P} _G$ and $\beta G$

Igor Protasov, Ksenia Protasova

arxiv:1704.02494 v1 · 2017-04-08 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52JB2G55AG2OU2NISLHJY6C42T}

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	2026-05-18T00:46:45.360535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee921d1bbd01b4ea69a892ce9c785cd4c42bece4abea440ca036cfd0ee6787b7

Aliases

arxiv: 1704.02494 · arxiv_version: 1704.02494v1 · doi: 10.48550/arxiv.1704.02494 · pith_short_12: 52JB2G55AG2O · pith_short_16: 52JB2G55AG2OU2NI · pith_short_8: 52JB2G55

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/52JB2G55AG2OU2NISLHJY6C42T \
  | 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: ee921d1bbd01b4ea69a892ce9c785cd4c42bece4abea440ca036cfd0ee6787b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63c574f7106fab0b2651fbc74dbf5ca8eb36e72e9f67002e0060c3317dcc7bc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2017-04-08T13:46:09Z",
    "title_canon_sha256": "765d15c1b34bd3b78a5e7d2a5082193a99c8d5a4158e2663cc5c2f6f9482cc28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02494",
    "kind": "arxiv",
    "version": 1
  }
}