Pith Number

pith:4NKIMDM6

pith:2018:4NKIMDM63Q4QIHPF3DCPSM3CVR

not attested not anchored not stored refs pending

Langlands Program and Ramanujan Conjecture: a survey

Luis Alberto Lomel\'i

arxiv:1812.05203 v1 · 2018-12-13 · 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{4NKIMDM63Q4QIHPF3DCPSM3CVR}

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	2026-05-17T23:58:24.216501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e354860d9edc39041de5d8c4f93362ac730e495db3d8b1efbf367cf76f6ce4cd

Aliases

arxiv: 1812.05203 · arxiv_version: 1812.05203v1 · doi: 10.48550/arxiv.1812.05203 · pith_short_12: 4NKIMDM63Q4Q · pith_short_16: 4NKIMDM63Q4QIHPF · pith_short_8: 4NKIMDM6

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/4NKIMDM63Q4QIHPF3DCPSM3CVR \
  | 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: e354860d9edc39041de5d8c4f93362ac730e495db3d8b1efbf367cf76f6ce4cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f3e075aac81dc75d028b0abeae0a8f7a22d8b403f0d5c5b31d90817b7a4621f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-13T00:07:12Z",
    "title_canon_sha256": "c4c5e81a285e273bfb2a6218ff1e0820e010401e704d01f9b7f418b61189374c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05203",
    "kind": "arxiv",
    "version": 1
  }
}