Pith Number

pith:L6BODFWN

pith:2013:L6BODFWNPTBBTRH5GDJ4AC77XV

not attested not anchored not stored refs pending

Euler systems for modular forms over imaginary quadratic fields

Antonio Lei, David Loeffler, Sarah Livia Zerbes

arxiv:1311.0175 v2 · 2013-11-01 · 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{L6BODFWNPTBBTRH5GDJ4AC77XV}

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	2026-05-18T01:31:46.789600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f82e196cd7cc219c4fd30d3c00bffbd60ef7fb3896a2e71a7517911011379fb

Aliases

arxiv: 1311.0175 · arxiv_version: 1311.0175v2 · doi: 10.48550/arxiv.1311.0175 · pith_short_12: L6BODFWNPTBB · pith_short_16: L6BODFWNPTBBTRH5 · pith_short_8: L6BODFWN

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/L6BODFWNPTBBTRH5GDJ4AC77XV \
  | 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: 5f82e196cd7cc219c4fd30d3c00bffbd60ef7fb3896a2e71a7517911011379fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe602fdf0d599e4e95b2726ffdf27b0b87ab8baf2cdb65032ab6242d6f71bd2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-01T13:13:21Z",
    "title_canon_sha256": "3db0aa64367fba9e3e127e7b16e12ccbac3b3968b9477e30545e8c320aee3156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0175",
    "kind": "arxiv",
    "version": 2
  }
}