Pith Number

pith:2U3VJZ6G

pith:2011:2U3VJZ6GJXUUPNGX7TZPGEVDBU

not attested not anchored not stored refs pending

A space of weight one modular forms attached to totally real cubic number fields

Guillermo Mantilla-Soler

arxiv:1109.2251 v2 · 2011-09-10 · 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{2U3VJZ6GJXUUPNGX7TZPGEVDBU}

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	2026-05-18T03:06:03.885218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d53754e7c64de947b4d7fcf2f312a30d15fdc5d9da2dcc51faa17a65f4c34688

Aliases

arxiv: 1109.2251 · arxiv_version: 1109.2251v2 · doi: 10.48550/arxiv.1109.2251 · pith_short_12: 2U3VJZ6GJXUU · pith_short_16: 2U3VJZ6GJXUUPNGX · pith_short_8: 2U3VJZ6G

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/2U3VJZ6GJXUUPNGX7TZPGEVDBU \
  | 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: d53754e7c64de947b4d7fcf2f312a30d15fdc5d9da2dcc51faa17a65f4c34688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea84d926b588874f92cbb8d87707cee0c0a348a387537ee4f0dc33618a897064",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-10T19:07:34Z",
    "title_canon_sha256": "8d3369f3f013e20b6c92700f995477825c860e1ca40f91fca71e62836e4a64b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2251",
    "kind": "arxiv",
    "version": 2
  }
}