Pith Number

pith:4CLIGMM6

pith:2019:4CLIGMM6O6HV53P7CTSN7IJO7Z

not attested not anchored not stored refs pending

An explicit geometric Langlands correspondence for the projective line minus four points

Niels uit de Bos

arxiv:1906.03240 v1 · 2019-06-07 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CLIGMM6O6HV53P7CTSN7IJO7Z}

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	2026-05-17T23:43:54.613781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e09683319e778f5eedff14e4dfa12efe77512ce5773f917721b6e424393e784e

Aliases

arxiv: 1906.03240 · arxiv_version: 1906.03240v1 · doi: 10.48550/arxiv.1906.03240 · pith_short_12: 4CLIGMM6O6HV · pith_short_16: 4CLIGMM6O6HV53P7 · pith_short_8: 4CLIGMM6

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/4CLIGMM6O6HV53P7CTSN7IJO7Z \
  | 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: e09683319e778f5eedff14e4dfa12efe77512ce5773f917721b6e424393e784e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "162f4cb447a96951118c89076e5f56e11a5e5f01b33e1cb40efe69597dcc9d2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-07T17:01:36Z",
    "title_canon_sha256": "94d28e37b89b4d21ca713ebdbb44f3aba99b251221613a67960f650a0b724d42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03240",
    "kind": "arxiv",
    "version": 1
  }
}