Pith Number

pith:WVRNS4UZ

pith:2010:WVRNS4UZKR2ZZQR7JXX7ORI7G5

not attested not anchored not stored refs pending

Geodesic restrictions for the Casimir operator

Andre Reznikov

arxiv:1012.2853 v2 · 2010-12-13 · math.AP · 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{WVRNS4UZKR2ZZQR7JXX7ORI7G5}

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	2026-05-18T04:16:51.528827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b562d9729954759cc23f4deff7451f3772938aee83e7042f2fefc3b73bc6fbb8

Aliases

arxiv: 1012.2853 · arxiv_version: 1012.2853v2 · doi: 10.48550/arxiv.1012.2853 · pith_short_12: WVRNS4UZKR2Z · pith_short_16: WVRNS4UZKR2ZZQR7 · pith_short_8: WVRNS4UZ

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/WVRNS4UZKR2ZZQR7JXX7ORI7G5 \
  | 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: b562d9729954759cc23f4deff7451f3772938aee83e7042f2fefc3b73bc6fbb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba008745e0bfee85a107fb4aa2a24abf3a2aa0accc8cc6a848d6737fb9c515f2",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-13T20:32:31Z",
    "title_canon_sha256": "fc79f15498d42f2eb7a90477f3b29127309864cff3ec6935ca9c557896f45038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2853",
    "kind": "arxiv",
    "version": 2
  }
}