Pith Number

pith:IWT4LDBJ

pith:2019:IWT4LDBJQCPKJMOQ3FY5MP3RMU

not attested not anchored not stored refs pending

Torsions in Cohomology of $\text{SL}_2(\mathbb{Z})$ and Congruence of Modular Forms

Taiwang Deng

arxiv:1905.05260 v1 · 2019-05-13 · 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{IWT4LDBJQCPKJMOQ3FY5MP3RMU}

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	2026-05-17T23:46:16.984556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45a7c58c29809ea4b1d0d971d63f716522e10758b485479da11e25170f846df8

Aliases

arxiv: 1905.05260 · arxiv_version: 1905.05260v1 · doi: 10.48550/arxiv.1905.05260 · pith_short_12: IWT4LDBJQCPK · pith_short_16: IWT4LDBJQCPKJMOQ · pith_short_8: IWT4LDBJ

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/IWT4LDBJQCPKJMOQ3FY5MP3RMU \
  | 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: 45a7c58c29809ea4b1d0d971d63f716522e10758b485479da11e25170f846df8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71adaeb67bd73de7884be562de29906fa154b97cffab51f47231fcc113b882cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-05-13T19:37:13Z",
    "title_canon_sha256": "29f4db411a5c4fc22bb31c24e300e5ddc6aa04e1968d86344ee0dde5b0d62538"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05260",
    "kind": "arxiv",
    "version": 1
  }
}