Pith Number

pith:OJW3R24B

pith:2013:OJW3R24B3BW7DXN6L5KXUITTMD

not attested not anchored not stored refs pending

Asymptotic expansions, $L$-values and a new Quantum Modular Form

Edgar Costa, Jo\~ao Guerreiro, Korneel Debaene

arxiv:1311.3469 v1 · 2013-11-14 · 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{OJW3R24B3BW7DXN6L5KXUITTMD}

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	2026-05-18T03:07:11.435103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

726db8eb81d86df1ddbe5f557a227360c3eb73c7b901aefb0b36d67def288915

Aliases

arxiv: 1311.3469 · arxiv_version: 1311.3469v1 · doi: 10.48550/arxiv.1311.3469 · pith_short_12: OJW3R24B3BW7 · pith_short_16: OJW3R24B3BW7DXN6 · pith_short_8: OJW3R24B

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/OJW3R24B3BW7DXN6L5KXUITTMD \
  | 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: 726db8eb81d86df1ddbe5f557a227360c3eb73c7b901aefb0b36d67def288915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8fac70c0bed021349a2f96b6ae3b8d5a63ba41c2af5f4c9c99008fa0e7331f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-14T11:47:37Z",
    "title_canon_sha256": "2edd09b3918c10e5bbbe00b9cdc1cda02d3a65ce597ccb606544ca9a20c5bffb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3469",
    "kind": "arxiv",
    "version": 1
  }
}