Pith Number

pith:6RCABKZM

pith:2011:6RCABKZMGB6J4BHTYWSKNMUMXK

not attested not anchored not stored refs pending

The fundamental lemma and the Hitchin fibration [after Ngo Bao Chau]

Thomas C. Hales

arxiv:1103.4066 v1 · 2011-03-21 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6RCABKZMGB6J4BHTYWSKNMUMXK}

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	2026-05-18T04:26:21.883676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f44400ab2c307c9e04f3c5a4a6b28cbaa1e837227245ad1b732a0434166ac629

Aliases

arxiv: 1103.4066 · arxiv_version: 1103.4066v1 · doi: 10.48550/arxiv.1103.4066 · pith_short_12: 6RCABKZMGB6J · pith_short_16: 6RCABKZMGB6J4BHT · pith_short_8: 6RCABKZM

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/6RCABKZMGB6J4BHTYWSKNMUMXK \
  | 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: f44400ab2c307c9e04f3c5a4a6b28cbaa1e837227245ad1b732a0434166ac629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66dcf80aa13c6747e211f09605af693084080b0669a1da7ffd0aa87d366b4c88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-03-21T16:09:39Z",
    "title_canon_sha256": "34c9f926ce94a95d6f13e365e863b180d83a3d691263ea27aff6dab45f913558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4066",
    "kind": "arxiv",
    "version": 1
  }
}