Pith Number

pith:W54LXGRP

pith:2015:W54LXGRPJGR6Y5TAEZJM4NZQ4G

not attested not anchored not stored refs pending

Representations of SL_2(R) and nearly holomorphic modular forms

Abhishek Saha, Ameya Pitale, Ralf Schmidt

arxiv:1501.00525 v1 · 2015-01-03 · 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{W54LXGRPJGR6Y5TAEZJM4NZQ4G}

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	2026-05-18T02:30:07.369212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b778bb9a2f49a3ec76602652ce3730e1aa75587fedbd608f3160d495708156fa

Aliases

arxiv: 1501.00525 · arxiv_version: 1501.00525v1 · doi: 10.48550/arxiv.1501.00525 · pith_short_12: W54LXGRPJGR6 · pith_short_16: W54LXGRPJGR6Y5TA · pith_short_8: W54LXGRP

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/W54LXGRPJGR6Y5TAEZJM4NZQ4G \
  | 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: b778bb9a2f49a3ec76602652ce3730e1aa75587fedbd608f3160d495708156fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "546629a222cb120853a837ee665e84ed916535a0990a6bd1377fee72c10c3073",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-03T03:58:51Z",
    "title_canon_sha256": "7d44f100333e200a689f09af82782a88a6bc2e4575eb8d08f3bfb7a75df00ef9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00525",
    "kind": "arxiv",
    "version": 1
  }
}