Pith Number

pith:JNCRKO3J

pith:2011:JNCRKO3JIFMPWKKN6GAHWFWHEY

not attested not anchored not stored refs pending

Computation of harmonic weak Maass forms

Fredrik Str\"omberg, Jan H. Bruinier

arxiv:1101.3190 v1 · 2011-01-17 · 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{JNCRKO3JIFMPWKKN6GAHWFWHEY}

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	2026-05-18T04:31:30.345949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b45153b694158fb294df1807b16c7263efc9157a7f9b22b83a8710a66090ead

Aliases

arxiv: 1101.3190 · arxiv_version: 1101.3190v1 · doi: 10.48550/arxiv.1101.3190 · pith_short_12: JNCRKO3JIFMP · pith_short_16: JNCRKO3JIFMPWKKN · pith_short_8: JNCRKO3J

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/JNCRKO3JIFMPWKKN6GAHWFWHEY \
  | 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: 4b45153b694158fb294df1807b16c7263efc9157a7f9b22b83a8710a66090ead

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c6299b147e76a6885321d618fffd4a4fcccf6075fa63282b7c620656c581537",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-17T11:56:25Z",
    "title_canon_sha256": "12eb99e68d887ad3602ea511b96e2abc13852b3d9cf7cf975deab82c6c08a2cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3190",
    "kind": "arxiv",
    "version": 1
  }
}