Pith Number

pith:LWCW5CNQ

pith:2010:LWCW5CNQ4UAX3UOJNZOZY2TKLL

not attested not anchored not stored refs pending

Recasting results in equivariant geometry: affine cosets, observable subgroups and existence of good quotients

Jarod Alper, Robert Easton

arxiv:1010.1976 v1 · 2010-10-11 · 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{LWCW5CNQ4UAX3UOJNZOZY2TKLL}

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	2026-05-18T04:39:29.971019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d856e89b0e5017dd1c96e5d9c6a6a5af94f3c5c217072eca8cd8b64a12e2101

Aliases

arxiv: 1010.1976 · arxiv_version: 1010.1976v1 · doi: 10.48550/arxiv.1010.1976 · pith_short_12: LWCW5CNQ4UAX · pith_short_16: LWCW5CNQ4UAX3UOJ · pith_short_8: LWCW5CNQ

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/LWCW5CNQ4UAX3UOJNZOZY2TKLL \
  | 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: 5d856e89b0e5017dd1c96e5d9c6a6a5af94f3c5c217072eca8cd8b64a12e2101

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15d5b4b90e0a9c6beb71aabd14b263e151e5a8f57cafc0e05716abfb96739956",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-11T00:30:44Z",
    "title_canon_sha256": "3517ee0bba11ef18ebbfe2a697aa325f563254c755d58cc2892ebf9d5f932880"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1976",
    "kind": "arxiv",
    "version": 1
  }
}