Pith Number

pith:QLQXLURY

pith:2015:QLQXLURYT2KIE5AHCWOW2GNLQC

not attested not anchored not stored refs pending

Pseudo-modularity and Iwasawa theory

Carl Wang-Erickson, Preston Wake

arxiv:1505.05128 v3 · 2015-05-19 · 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{QLQXLURYT2KIE5AHCWOW2GNLQC}

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	2026-05-18T00:10:52.486446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82e175d2389e94827407159d6d19ab808e22f19566b738a94db42c553b3ad36b

Aliases

arxiv: 1505.05128 · arxiv_version: 1505.05128v3 · doi: 10.48550/arxiv.1505.05128 · pith_short_12: QLQXLURYT2KI · pith_short_16: QLQXLURYT2KIE5AH · pith_short_8: QLQXLURY

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/QLQXLURYT2KIE5AHCWOW2GNLQC \
  | 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: 82e175d2389e94827407159d6d19ab808e22f19566b738a94db42c553b3ad36b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e53cc044ebf0f6e59ef16a510d71f1eefa4c23a7402dba1d10398a95d8530530",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-19T19:41:41Z",
    "title_canon_sha256": "76abced1604ecf73708dfd98d4565c767da57a9e2998c35bf5013bb26fc00410"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05128",
    "kind": "arxiv",
    "version": 3
  }
}