Pith Number

pith:3PBKVXVZ

pith:2012:3PBKVXVZPGVAO5RBU5TLGDGAHM

not attested not anchored not stored refs pending

Computing power series expansions of modular forms

John Voight, John Willis

arxiv:1205.0045 v2 · 2012-04-30 · 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{3PBKVXVZPGVAO5RBU5TLGDGAHM}

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	2026-05-18T03:44:24.101841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbc2aadeb979aa077621a766b30cc03b33cb3656ff2e14a238cc10de259f6299

Aliases

arxiv: 1205.0045 · arxiv_version: 1205.0045v2 · doi: 10.48550/arxiv.1205.0045 · pith_short_12: 3PBKVXVZPGVA · pith_short_16: 3PBKVXVZPGVAO5RB · pith_short_8: 3PBKVXVZ

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/3PBKVXVZPGVAO5RBU5TLGDGAHM \
  | 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: dbc2aadeb979aa077621a766b30cc03b33cb3656ff2e14a238cc10de259f6299

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6950be4dd8cde8768b88ecb5b32a736a2985d789643e6daf6660aafc1511fb38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-30T22:30:29Z",
    "title_canon_sha256": "24ff0d27cb65af502ca5b54ebfb3ddd594a0a3994547b72253212663eb731ce3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0045",
    "kind": "arxiv",
    "version": 2
  }
}