Pith Number

pith:LQZIJJ52

pith:2001:LQZIJJ52PBDR2KV7YEZE35BLNX

not attested not anchored not stored refs pending

A remark on potentially semi-stable representations of Hodge-Tate type (0,1)

Kirti Joshi, Minhyong Kim

arxiv:math/0110068 v1 · 2001-10-05 · math.AG · 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{LQZIJJ52PBDR2KV7YEZE35BLNX}

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	2026-05-18T03:20:59.253535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c3284a7ba78471d2abfc1324df42b6dc3d182a4e9f016fa644b9ae07c814425

Aliases

arxiv: math/0110068 · arxiv_version: math/0110068v1 · doi: 10.48550/arxiv.math/0110068 · pith_short_12: LQZIJJ52PBDR · pith_short_16: LQZIJJ52PBDR2KV7 · pith_short_8: LQZIJJ52

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/LQZIJJ52PBDR2KV7YEZE35BLNX \
  | 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: 5c3284a7ba78471d2abfc1324df42b6dc3d182a4e9f016fa644b9ae07c814425

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91ff445d3824165ffd68f05738ec13433cd1e837d9dd391f6652d8cd8e360901",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-10-05T20:03:13Z",
    "title_canon_sha256": "8c6d5f30ec2823b9c5dc024df6f4a4079d9fa424f57512dcf9c370c57a974861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110068",
    "kind": "arxiv",
    "version": 1
  }
}