Pith Number

pith:HKSSKKY6

pith:2010:HKSSKKY6ZZ4HVBIKMOPGMX37LE

not attested not anchored not stored refs pending

Density of classical points in eigenvarieties

David Loeffler

arxiv:1009.0154 v1 · 2010-09-01 · 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{HKSSKKY6ZZ4HVBIKMOPGMX37LE}

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	2026-05-18T00:23:21.761747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aa5252b1ece787a850a639e665f7f5912bfc4531958968695c0c69fac3b4788

Aliases

arxiv: 1009.0154 · arxiv_version: 1009.0154v1 · doi: 10.48550/arxiv.1009.0154 · pith_short_12: HKSSKKY6ZZ4H · pith_short_16: HKSSKKY6ZZ4HVBIK · pith_short_8: HKSSKKY6

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/HKSSKKY6ZZ4HVBIKMOPGMX37LE \
  | 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: 3aa5252b1ece787a850a639e665f7f5912bfc4531958968695c0c69fac3b4788

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2651fe788be2770439b59d72905d75753e7ac2cb43eee23fcbc148fe6a36e49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-01T10:40:35Z",
    "title_canon_sha256": "5fead043e2795082be746bd97370c70792866c5dbe3fc0e4f919f0f851d903fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0154",
    "kind": "arxiv",
    "version": 1
  }
}