Pith Number

pith:I45GREHI

pith:1994:I45GREHIKEVY6JKIUCLGCRVB4R

not attested not anchored not stored refs pending

The Dimension of the Space of Cusp Forms of Weight One

William Duke

arxiv:math/9411212 v1 · 1994-11-09 · 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{I45GREHIKEVY6JKIUCLGCRVB4R}

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	2026-05-18T01:05:50.889021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

473a6890e8512b8f2548a0966146a1e46c0ed835596f9105861c29cb10ad526c

Aliases

arxiv: math/9411212 · arxiv_version: math/9411212v1 · doi: 10.48550/arxiv.math/9411212 · pith_short_12: I45GREHIKEVY · pith_short_16: I45GREHIKEVY6JKI · pith_short_8: I45GREHI

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/I45GREHIKEVY6JKIUCLGCRVB4R \
  | 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: 473a6890e8512b8f2548a0966146a1e46c0ed835596f9105861c29cb10ad526c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8c344ca3ba2d1d8631cd366a9f1e4c8c8719bef54af54343ec53711d619e7e8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "1994-11-09T00:00:00Z",
    "title_canon_sha256": "d8ac77abfb9de3a77e0cc8820bf3929ed147c09ceb0672f674186c0bf2d908d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9411212",
    "kind": "arxiv",
    "version": 1
  }
}