Pith Number

pith:E5ZPUY7T

pith:2010:E5ZPUY7T2ZBGEYZETFAAJ6ATVE

not attested not anchored not stored refs pending

On the asymptotic S_n-structure of invariant differential operators on symplectic manifolds

Qingchun Ren, Travis Schedler

arxiv:1006.0268 v3 · 2010-06-01 · math.SG · math.KT · 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{E5ZPUY7T2ZBGEYZETFAAJ6ATVE}

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	2026-05-18T04:02:13.771565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2772fa63f3d642626324994004f813a92730f6b48871f6666b57cf2f5122259e

Aliases

arxiv: 1006.0268 · arxiv_version: 1006.0268v3 · doi: 10.48550/arxiv.1006.0268 · pith_short_12: E5ZPUY7T2ZBG · pith_short_16: E5ZPUY7T2ZBGEYZE · pith_short_8: E5ZPUY7T

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/E5ZPUY7T2ZBGEYZETFAAJ6ATVE \
  | 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: 2772fa63f3d642626324994004f813a92730f6b48871f6666b57cf2f5122259e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9c20747ae3d4e1a67fc4854e438733607b7d5431bfa0701999d310193223225",
    "cross_cats_sorted": [
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-06-01T23:55:18Z",
    "title_canon_sha256": "22bbfcbe7a530490bd8b20c4a73d4d06fa321731a277590ee68f333da415676b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0268",
    "kind": "arxiv",
    "version": 3
  }
}