Pith Number

pith:DDZTAGUY

pith:2010:DDZTAGUYCVCPXHXEOY6DM2GUMZ

not attested not anchored not stored refs pending

The Geometric Nature of the Fundamental Lemma

David Nadler

arxiv:1009.1862 v3 · 2010-09-09 · math.RT · 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{DDZTAGUYCVCPXHXEOY6DM2GUMZ}

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	2026-05-18T04:40:33.826616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18f3301a981544fb9ee4763c3668d46663affb98d06ff17eb1c036a161fa192c

Aliases

arxiv: 1009.1862 · arxiv_version: 1009.1862v3 · doi: 10.48550/arxiv.1009.1862 · pith_short_12: DDZTAGUYCVCP · pith_short_16: DDZTAGUYCVCPXHXE · pith_short_8: DDZTAGUY

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/DDZTAGUYCVCPXHXEOY6DM2GUMZ \
  | 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: 18f3301a981544fb9ee4763c3668d46663affb98d06ff17eb1c036a161fa192c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93a622faffe3a9fc29e7d7c6c2adbe8d7251893d60d9cc828a0eb2def1061af9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-09-09T19:20:17Z",
    "title_canon_sha256": "6cbffd170cdc6189c0de6eb7207276ff252ab178c5415e073659233d8ec741ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1862",
    "kind": "arxiv",
    "version": 3
  }
}