Pith Number

pith:MDS7FZAQ

pith:2013:MDS7FZAQTI67Y5QXT2W3YNO6ZV

not attested not anchored not stored refs pending

Non-commutative Hilbert modular symbols

Ivan Horozov

arxiv:1308.4991 v2 · 2013-08-22 · 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{MDS7FZAQTI67Y5QXT2W3YNO6ZV}

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	2026-05-18T01:22:25.056622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60e5f2e4109a3dfc76179eadbc35decd61a6fdc3d5590cc5124982a9a1cade02

Aliases

arxiv: 1308.4991 · arxiv_version: 1308.4991v2 · doi: 10.48550/arxiv.1308.4991 · pith_short_12: MDS7FZAQTI67 · pith_short_16: MDS7FZAQTI67Y5QX · pith_short_8: MDS7FZAQ

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/MDS7FZAQTI67Y5QXT2W3YNO6ZV \
  | 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: 60e5f2e4109a3dfc76179eadbc35decd61a6fdc3d5590cc5124982a9a1cade02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e6bdd4ba0cb6d0605ab400438025d4b647bd41a2d1e158664c546af57edefec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-22T20:36:41Z",
    "title_canon_sha256": "01625fc7d56c1c67ceeb6837b06e3edf8093427bac266e41b794b04d585f0350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4991",
    "kind": "arxiv",
    "version": 2
  }
}