Pith Number

pith:M2GQBUX4

pith:2012:M2GQBUX4M6TGOFCUYXIRE37IEU

not attested not anchored not stored refs pending

Computing weight one modular forms over $\C$ and $\Fpbar$

Kevin Buzzard

arxiv:1205.5077 v2 · 2012-05-23 · 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{M2GQBUX4M6TGOFCUYXIRE37IEU}

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	2026-05-18T01:14:36.428492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

668d00d2fc67a6671454c5d1126fe8252820e000bbc8d5a4b19e0397531b8e5b

Aliases

arxiv: 1205.5077 · arxiv_version: 1205.5077v2 · doi: 10.48550/arxiv.1205.5077 · pith_short_12: M2GQBUX4M6TG · pith_short_16: M2GQBUX4M6TGOFCU · pith_short_8: M2GQBUX4

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/M2GQBUX4M6TGOFCUYXIRE37IEU \
  | 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: 668d00d2fc67a6671454c5d1126fe8252820e000bbc8d5a4b19e0397531b8e5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "292cdb5927eae9a040f6b120454653e7f8ed39672997db762daabf94fcfb3516",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-23T00:27:36Z",
    "title_canon_sha256": "90aad8664dd2c1ca2399e68350b2a003b38c8d9594e2f0c6cf6fbd37453ad7c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5077",
    "kind": "arxiv",
    "version": 2
  }
}