Pith Number

pith:UIYL6FJH

pith:2016:UIYL6FJHEMKYDKWKWFZ4AX6SUI

not attested not anchored not stored refs pending

On component groups of Jacobians of quaternionic modular curves

Mihran Papikian

arxiv:1612.07898 v1 · 2016-12-23 · 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{UIYL6FJHEMKYDKWKWFZ4AX6SUI}

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	2026-05-18T00:54:05.402337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a230bf1527231581aacab173c05fd2a23c08645ffad2ef5935f5f7e32bf0a2a0

Aliases

arxiv: 1612.07898 · arxiv_version: 1612.07898v1 · doi: 10.48550/arxiv.1612.07898 · pith_short_12: UIYL6FJHEMKY · pith_short_16: UIYL6FJHEMKYDKWK · pith_short_8: UIYL6FJH

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/UIYL6FJHEMKYDKWKWFZ4AX6SUI \
  | 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: a230bf1527231581aacab173c05fd2a23c08645ffad2ef5935f5f7e32bf0a2a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67dd435bf6036595a2515ec27307257452c8a4c666a801e73e8935039411c903",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-23T08:05:07Z",
    "title_canon_sha256": "a8c68e79cdbd9699a7bd19237367623891948d8f2db3c5bc58d677d4681e864b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07898",
    "kind": "arxiv",
    "version": 1
  }
}