Pith Number

pith:GJUWC7N2

pith:2015:GJUWC7N2F5LESTX5HE2IZ5BTAE

not attested not anchored not stored refs pending

Dirac operators on quasi-Hamiltonian G-spaces

Yanli Song

arxiv:1503.03150 v2 · 2015-03-11 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJUWC7N2F5LESTX5HE2IZ5BTAE}

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	2026-05-18T01:11:46.918781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3269617dba2f56494efd39348cf433011a3a84cb21fec3a298d57479d9d1b272

Aliases

arxiv: 1503.03150 · arxiv_version: 1503.03150v2 · doi: 10.48550/arxiv.1503.03150 · pith_short_12: GJUWC7N2F5LE · pith_short_16: GJUWC7N2F5LESTX5 · pith_short_8: GJUWC7N2

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/GJUWC7N2F5LESTX5HE2IZ5BTAE \
  | 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: 3269617dba2f56494efd39348cf433011a3a84cb21fec3a298d57479d9d1b272

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24d9cc28c2ea8d2bbf44903706c577e2347ba11ed7e2750128a539101c2e9681",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-03-11T02:21:55Z",
    "title_canon_sha256": "9a31236cd2d318e640aebb587aed084045340888ee4a97f410c43b0d3072369f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03150",
    "kind": "arxiv",
    "version": 2
  }
}